Actual source code: petscdm.h
1: /*
2: Objects to manage the interactions between the mesh data structures and the algebraic objects
3: */
4: #pragma once
5: #include <petscmat.h>
6: #include <petscdmtypes.h>
7: #include <petscfetypes.h>
8: #include <petscdstypes.h>
9: #include <petscdmlabel.h>
10: #include <petscdt.h>
12: /* SUBMANSEC = DM */
14: PETSC_EXTERN PetscErrorCode DMInitializePackage(void);
16: PETSC_EXTERN PetscClassId DM_CLASSID;
18: #define DMLOCATEPOINT_POINT_NOT_FOUND -367
20: /*J
21: DMType - String with the name of a PETSc `DM`
23: Level: beginner
25: .seealso: [](ch_dmbase), `DMSetType()`, `DMCreate()`, `DM`
26: J*/
27: typedef const char *DMType;
28: #define DMDA "da"
29: #define DMCOMPOSITE "composite"
30: #define DMSLICED "sliced"
31: #define DMSHELL "shell"
32: #define DMPLEX "plex"
33: #define DMREDUNDANT "redundant"
34: #define DMPATCH "patch"
35: #define DMMOAB "moab"
36: #define DMNETWORK "network"
37: #define DMFOREST "forest"
38: #define DMP4EST "p4est"
39: #define DMP8EST "p8est"
40: #define DMSWARM "swarm"
41: #define DMPRODUCT "product"
42: #define DMSTAG "stag"
44: PETSC_EXTERN const char *const DMBoundaryTypes[];
45: PETSC_EXTERN const char *const DMBoundaryConditionTypes[];
46: PETSC_EXTERN const char *const DMBlockingTypes[];
47: PETSC_EXTERN PetscFunctionList DMList;
48: PETSC_EXTERN DMGeneratorFunctionList DMGenerateList;
49: PETSC_EXTERN PetscFunctionList DMGeomModelList;
50: PETSC_EXTERN PetscErrorCode DMCreate(MPI_Comm, DM *);
51: PETSC_EXTERN PetscErrorCode DMClone(DM, DM *);
52: PETSC_EXTERN PetscErrorCode DMSetType(DM, DMType);
53: PETSC_EXTERN PetscErrorCode DMGetType(DM, DMType *);
54: PETSC_EXTERN PetscErrorCode DMRegister(const char[], PetscErrorCode (*)(DM));
55: PETSC_EXTERN PetscErrorCode DMRegisterDestroy(void);
57: PETSC_EXTERN PetscErrorCode DMView(DM, PetscViewer);
58: PETSC_EXTERN PetscErrorCode DMLoad(DM, PetscViewer);
59: PETSC_EXTERN PetscErrorCode DMDestroy(DM *);
60: PETSC_EXTERN PetscErrorCode DMCreateGlobalVector(DM, Vec *);
61: PETSC_EXTERN PetscErrorCode DMCreateLocalVector(DM, Vec *);
62: PETSC_EXTERN PetscErrorCode DMGetLocalVector(DM, Vec *);
63: PETSC_EXTERN PetscErrorCode DMRestoreLocalVector(DM, Vec *);
64: PETSC_EXTERN PetscErrorCode DMGetGlobalVector(DM, Vec *);
65: PETSC_EXTERN PetscErrorCode DMRestoreGlobalVector(DM, Vec *);
66: PETSC_EXTERN PetscErrorCode DMClearGlobalVectors(DM);
67: PETSC_EXTERN PetscErrorCode DMClearLocalVectors(DM);
68: PETSC_EXTERN PetscErrorCode DMClearNamedGlobalVectors(DM);
69: PETSC_EXTERN PetscErrorCode DMClearNamedLocalVectors(DM);
70: PETSC_EXTERN PetscErrorCode DMHasNamedGlobalVector(DM, const char *, PetscBool *);
71: PETSC_EXTERN PetscErrorCode DMGetNamedGlobalVector(DM, const char *, Vec *);
72: PETSC_EXTERN PetscErrorCode DMRestoreNamedGlobalVector(DM, const char *, Vec *);
73: PETSC_EXTERN PetscErrorCode DMHasNamedLocalVector(DM, const char *, PetscBool *);
74: PETSC_EXTERN PetscErrorCode DMGetNamedLocalVector(DM, const char *, Vec *);
75: PETSC_EXTERN PetscErrorCode DMRestoreNamedLocalVector(DM, const char *, Vec *);
76: PETSC_EXTERN PetscErrorCode DMGetLocalToGlobalMapping(DM, ISLocalToGlobalMapping *);
77: PETSC_EXTERN PetscErrorCode DMCreateFieldIS(DM, PetscInt *, char ***, IS **);
78: PETSC_EXTERN PetscErrorCode DMGetBlockSize(DM, PetscInt *);
79: PETSC_EXTERN PetscErrorCode DMCreateColoring(DM, ISColoringType, ISColoring *);
80: PETSC_EXTERN PetscErrorCode DMCreateMatrix(DM, Mat *);
81: PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateSkip(DM, PetscBool);
82: PETSC_EXTERN PetscErrorCode DMSetMatrixPreallocateOnly(DM, PetscBool);
83: PETSC_EXTERN PetscErrorCode DMSetMatrixStructureOnly(DM, PetscBool);
84: PETSC_EXTERN PetscErrorCode DMSetBlockingType(DM, DMBlockingType);
85: PETSC_EXTERN PetscErrorCode DMGetBlockingType(DM, DMBlockingType *);
86: PETSC_EXTERN PetscErrorCode DMCreateInterpolation(DM, DM, Mat *, Vec *);
87: PETSC_EXTERN PetscErrorCode DMCreateRestriction(DM, DM, Mat *);
88: PETSC_EXTERN PetscErrorCode DMCreateInjection(DM, DM, Mat *);
89: PETSC_EXTERN PetscErrorCode DMCreateMassMatrix(DM, DM, Mat *);
90: PETSC_EXTERN PetscErrorCode DMCreateMassMatrixLumped(DM, Vec *);
91: PETSC_EXTERN PetscErrorCode DMGetWorkArray(DM, PetscInt, MPI_Datatype, void *);
92: PETSC_EXTERN PetscErrorCode DMRestoreWorkArray(DM, PetscInt, MPI_Datatype, void *);
93: PETSC_EXTERN PetscErrorCode DMRefine(DM, MPI_Comm, DM *);
94: PETSC_EXTERN PetscErrorCode DMCoarsen(DM, MPI_Comm, DM *);
95: PETSC_EXTERN PetscErrorCode DMGetCoarseDM(DM, DM *);
96: PETSC_EXTERN PetscErrorCode DMSetCoarseDM(DM, DM);
97: PETSC_EXTERN PetscErrorCode DMGetFineDM(DM, DM *);
98: PETSC_EXTERN PetscErrorCode DMSetFineDM(DM, DM);
99: PETSC_EXTERN PetscErrorCode DMRefineHierarchy(DM, PetscInt, DM[]);
100: PETSC_EXTERN PetscErrorCode DMCoarsenHierarchy(DM, PetscInt, DM[]);
101: PETSC_EXTERN PetscErrorCode DMCoarsenHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *);
102: PETSC_EXTERN PetscErrorCode DMCoarsenHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, Vec, Mat, DM, void *), void *);
103: PETSC_EXTERN PetscErrorCode DMRefineHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *);
104: PETSC_EXTERN PetscErrorCode DMRefineHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, Mat, DM, void *), void *);
105: PETSC_EXTERN PetscErrorCode DMRestrict(DM, Mat, Vec, Mat, DM);
106: PETSC_EXTERN PetscErrorCode DMInterpolate(DM, Mat, DM);
107: PETSC_EXTERN PetscErrorCode DMInterpolateSolution(DM, DM, Mat, Vec, Vec);
108: PETSC_EXTERN PetscErrorCode DMExtrude(DM, PetscInt, DM *);
109: PETSC_EXTERN PetscErrorCode DMSetFromOptions(DM);
110: PETSC_EXTERN PetscErrorCode DMViewFromOptions(DM, PetscObject, const char[]);
112: PETSC_EXTERN PetscErrorCode DMGenerate(DM, const char[], PetscBool, DM *);
113: PETSC_EXTERN PetscErrorCode DMGenerateRegister(const char[], PetscErrorCode (*)(DM, PetscBool, DM *), PetscErrorCode (*)(DM, PetscReal *, DM *), PetscErrorCode (*)(DM, Vec, DMLabel, DMLabel, DM *), PetscInt);
114: PETSC_EXTERN PetscErrorCode DMGenerateRegisterAll(void);
115: PETSC_EXTERN PetscErrorCode DMGenerateRegisterDestroy(void);
116: PETSC_EXTERN PetscErrorCode DMGeomModelRegister(const char[], PetscErrorCode (*)(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]));
117: PETSC_EXTERN PetscErrorCode DMGeomModelRegisterAll(void);
118: PETSC_EXTERN PetscErrorCode DMGeomModelRegisterDestroy(void);
119: PETSC_EXTERN PetscErrorCode DMAdaptLabel(DM, DMLabel, DM *);
120: PETSC_EXTERN PetscErrorCode DMAdaptMetric(DM, Vec, DMLabel, DMLabel, DM *);
122: PETSC_EXTERN PetscErrorCode DMSetUp(DM);
123: PETSC_EXTERN PetscErrorCode DMCreateInterpolationScale(DM, DM, Mat, Vec *);
124: PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMDACreateAggregates()", ) PetscErrorCode DMCreateAggregates(DM, DM, Mat *);
125: PETSC_EXTERN PetscErrorCode DMGlobalToLocalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *);
126: PETSC_EXTERN PetscErrorCode DMLocalToGlobalHookAdd(DM, PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), PetscErrorCode (*)(DM, Vec, InsertMode, Vec, void *), void *);
127: PETSC_EXTERN PetscErrorCode DMGlobalToLocal(DM, Vec, InsertMode, Vec);
128: PETSC_EXTERN PetscErrorCode DMGlobalToLocalBegin(DM, Vec, InsertMode, Vec);
129: PETSC_EXTERN PetscErrorCode DMGlobalToLocalEnd(DM, Vec, InsertMode, Vec);
130: PETSC_EXTERN PetscErrorCode DMLocalToGlobal(DM, Vec, InsertMode, Vec);
131: PETSC_EXTERN PetscErrorCode DMLocalToGlobalBegin(DM, Vec, InsertMode, Vec);
132: PETSC_EXTERN PetscErrorCode DMLocalToGlobalEnd(DM, Vec, InsertMode, Vec);
133: PETSC_EXTERN PetscErrorCode DMLocalToLocalBegin(DM, Vec, InsertMode, Vec);
134: PETSC_EXTERN PetscErrorCode DMLocalToLocalEnd(DM, Vec, InsertMode, Vec);
135: PETSC_EXTERN PetscErrorCode DMConvert(DM, DMType, DM *);
137: /* Topology support */
138: PETSC_EXTERN PetscErrorCode DMGetDimension(DM, PetscInt *);
139: PETSC_EXTERN PetscErrorCode DMSetDimension(DM, PetscInt);
140: PETSC_EXTERN PetscErrorCode DMGetDimPoints(DM, PetscInt, PetscInt *, PetscInt *);
141: PETSC_EXTERN PetscErrorCode DMGetUseNatural(DM, PetscBool *);
142: PETSC_EXTERN PetscErrorCode DMSetUseNatural(DM, PetscBool);
143: PETSC_EXTERN PetscErrorCode DMGetNeighbors(DM, PetscInt *, const PetscMPIInt **);
145: /* Coordinate support */
146: PETSC_EXTERN PetscErrorCode DMGetCoordinateDM(DM, DM *);
147: PETSC_EXTERN PetscErrorCode DMSetCoordinateDM(DM, DM);
148: PETSC_EXTERN PetscErrorCode DMGetCellCoordinateDM(DM, DM *);
149: PETSC_EXTERN PetscErrorCode DMSetCellCoordinateDM(DM, DM);
150: PETSC_EXTERN PetscErrorCode DMGetCoordinateDim(DM, PetscInt *);
151: PETSC_EXTERN PetscErrorCode DMSetCoordinateDim(DM, PetscInt);
152: PETSC_EXTERN PetscErrorCode DMGetCoordinateSection(DM, PetscSection *);
153: PETSC_EXTERN PetscErrorCode DMSetCoordinateSection(DM, PetscInt, PetscSection);
154: PETSC_EXTERN PetscErrorCode DMGetCellCoordinateSection(DM, PetscSection *);
155: PETSC_EXTERN PetscErrorCode DMSetCellCoordinateSection(DM, PetscInt, PetscSection);
156: PETSC_EXTERN PetscErrorCode DMGetCoordinates(DM, Vec *);
157: PETSC_EXTERN PetscErrorCode DMSetCoordinates(DM, Vec);
158: PETSC_EXTERN PetscErrorCode DMGetCellCoordinates(DM, Vec *);
159: PETSC_EXTERN PetscErrorCode DMSetCellCoordinates(DM, Vec);
160: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalSetUp(DM);
161: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocal(DM, Vec *);
162: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalNoncollective(DM, Vec *);
163: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalTuple(DM, IS, PetscSection *, Vec *);
164: PETSC_EXTERN PetscErrorCode DMSetCoordinatesLocal(DM, Vec);
165: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalSetUp(DM);
166: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocal(DM, Vec *);
167: PETSC_EXTERN PetscErrorCode DMGetCellCoordinatesLocalNoncollective(DM, Vec *);
168: PETSC_EXTERN PetscErrorCode DMSetCellCoordinatesLocal(DM, Vec);
169: PETSC_EXTERN PetscErrorCode DMGetCoordinateField(DM, DMField *);
170: PETSC_EXTERN PetscErrorCode DMSetCoordinateField(DM, DMField);
171: PETSC_EXTERN PetscErrorCode DMGetLocalBoundingBox(DM, PetscReal[], PetscReal[]);
172: PETSC_EXTERN PetscErrorCode DMGetBoundingBox(DM, PetscReal[], PetscReal[]);
173: PETSC_EXTERN PetscErrorCode DMSetCoordinateDisc(DM, PetscFE, PetscBool);
174: PETSC_EXTERN PetscErrorCode DMLocatePoints(DM, Vec, DMPointLocationType, PetscSF *);
175: PETSC_EXTERN PetscErrorCode DMSnapToGeomModel(DM, PetscInt, PetscInt, const PetscScalar[], PetscScalar[]);
176: PETSC_EXTERN PetscErrorCode DMSetSnapToGeomModel(DM, const char[]);
178: /* Periodicity support */
179: PETSC_EXTERN PetscErrorCode DMGetPeriodicity(DM, const PetscReal *[], const PetscReal *[], const PetscReal *[]);
180: PETSC_EXTERN PetscErrorCode DMSetPeriodicity(DM, const PetscReal[], const PetscReal[], const PetscReal[]);
181: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinate(DM, const PetscScalar[], PetscBool, PetscScalar[]);
182: PETSC_EXTERN PetscErrorCode DMLocalizeCoordinates(DM);
183: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalized(DM, PetscBool *);
184: PETSC_EXTERN PetscErrorCode DMGetCoordinatesLocalizedLocal(DM, PetscBool *);
185: PETSC_EXTERN PetscErrorCode DMGetSparseLocalize(DM, PetscBool *);
186: PETSC_EXTERN PetscErrorCode DMSetSparseLocalize(DM, PetscBool);
188: /* block hook interface */
189: PETSC_EXTERN PetscErrorCode DMSubDomainHookAdd(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *);
190: PETSC_EXTERN PetscErrorCode DMSubDomainHookRemove(DM, PetscErrorCode (*)(DM, DM, void *), PetscErrorCode (*)(DM, VecScatter, VecScatter, DM, void *), void *);
191: PETSC_EXTERN PetscErrorCode DMSubDomainRestrict(DM, VecScatter, VecScatter, DM);
193: PETSC_EXTERN PetscErrorCode DMSetOptionsPrefix(DM, const char[]);
194: PETSC_EXTERN PetscErrorCode DMAppendOptionsPrefix(DM, const char[]);
195: PETSC_EXTERN PetscErrorCode DMGetOptionsPrefix(DM, const char *[]);
196: PETSC_EXTERN PetscErrorCode DMSetVecType(DM, VecType);
197: PETSC_EXTERN PetscErrorCode DMGetVecType(DM, VecType *);
198: PETSC_EXTERN PetscErrorCode DMSetMatType(DM, MatType);
199: PETSC_EXTERN PetscErrorCode DMGetMatType(DM, MatType *);
200: PETSC_EXTERN PetscErrorCode DMSetISColoringType(DM, ISColoringType);
201: PETSC_EXTERN PetscErrorCode DMGetISColoringType(DM, ISColoringType *);
202: PETSC_EXTERN PetscErrorCode DMSetApplicationContext(DM, void *);
203: PETSC_EXTERN PetscErrorCode DMSetApplicationContextDestroy(DM, PetscErrorCode (*)(void **));
204: PETSC_EXTERN PetscErrorCode DMGetApplicationContext(DM, void *);
205: PETSC_EXTERN PetscErrorCode DMSetVariableBounds(DM, PetscErrorCode (*)(DM, Vec, Vec));
206: PETSC_EXTERN PetscErrorCode DMHasVariableBounds(DM, PetscBool *);
207: PETSC_EXTERN PetscErrorCode DMHasColoring(DM, PetscBool *);
208: PETSC_EXTERN PetscErrorCode DMHasCreateRestriction(DM, PetscBool *);
209: PETSC_EXTERN PetscErrorCode DMHasCreateInjection(DM, PetscBool *);
210: PETSC_EXTERN PetscErrorCode DMComputeVariableBounds(DM, Vec, Vec);
212: PETSC_EXTERN PetscErrorCode DMCreateSubDM(DM, PetscInt, const PetscInt[], IS *, DM *);
213: PETSC_EXTERN PetscErrorCode DMCreateSuperDM(DM[], PetscInt, IS **, DM *);
214: PETSC_EXTERN PetscErrorCode DMCreateSectionSubDM(DM, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], IS *, DM *);
215: PETSC_EXTERN PetscErrorCode DMCreateSectionSuperDM(DM[], PetscInt, IS **, DM *);
216: PETSC_EXTERN PetscErrorCode DMCreateFieldDecomposition(DM, PetscInt *, char ***, IS **, DM **);
217: PETSC_EXTERN PetscErrorCode DMCreateDomainDecomposition(DM, PetscInt *, char ***, IS **, IS **, DM **);
218: PETSC_EXTERN PetscErrorCode DMCreateDomainDecompositionScatters(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **);
220: PETSC_EXTERN PetscErrorCode DMGetRefineLevel(DM, PetscInt *);
221: PETSC_EXTERN PetscErrorCode DMSetRefineLevel(DM, PetscInt);
222: PETSC_EXTERN PetscErrorCode DMGetCoarsenLevel(DM, PetscInt *);
223: PETSC_EXTERN PetscErrorCode DMSetCoarsenLevel(DM, PetscInt);
224: PETSC_EXTERN PetscErrorCode DMFinalizePackage(void);
226: PETSC_EXTERN PetscErrorCode VecGetDM(Vec, DM *);
227: PETSC_EXTERN PetscErrorCode VecSetDM(Vec, DM);
228: PETSC_EXTERN PetscErrorCode MatGetDM(Mat, DM *);
229: PETSC_EXTERN PetscErrorCode MatSetDM(Mat, DM);
230: PETSC_EXTERN PetscErrorCode MatFDColoringUseDM(Mat, MatFDColoring);
232: typedef struct NLF_DAAD *NLF;
234: #define DM_FILE_CLASSID 1211221
236: /* FEM support */
237: PETSC_EXTERN PetscErrorCode DMPrintCellIndices(PetscInt, const char[], PetscInt, const PetscInt[]);
238: PETSC_EXTERN PetscErrorCode DMPrintCellVector(PetscInt, const char[], PetscInt, const PetscScalar[]);
239: PETSC_EXTERN PetscErrorCode DMPrintCellVectorReal(PetscInt, const char[], PetscInt, const PetscReal[]);
240: PETSC_EXTERN PetscErrorCode DMPrintCellMatrix(PetscInt, const char[], PetscInt, PetscInt, const PetscScalar[]);
241: PETSC_EXTERN PetscErrorCode DMPrintLocalVec(DM, const char[], PetscReal, Vec);
243: PETSC_EXTERN PetscErrorCode DMSetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
244: PETSC_EXTERN PetscErrorCode DMGetNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));
245: PETSC_EXTERN PetscErrorCode DMSetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (*)(DM, PetscInt, PetscInt, MatNullSpace *));
246: PETSC_EXTERN PetscErrorCode DMGetNearNullSpaceConstructor(DM, PetscInt, PetscErrorCode (**)(DM, PetscInt, PetscInt, MatNullSpace *));
248: PETSC_EXTERN PetscErrorCode DMGetSection(DM, PetscSection *); /* Use DMGetLocalSection() in new code (since v3.12) */
249: PETSC_EXTERN PetscErrorCode DMSetSection(DM, PetscSection); /* Use DMSetLocalSection() in new code (since v3.12) */
250: PETSC_EXTERN PetscErrorCode DMGetLocalSection(DM, PetscSection *);
251: PETSC_EXTERN PetscErrorCode DMSetLocalSection(DM, PetscSection);
252: PETSC_EXTERN PetscErrorCode DMGetGlobalSection(DM, PetscSection *);
253: PETSC_EXTERN PetscErrorCode DMSetGlobalSection(DM, PetscSection);
254: PETSC_EXTERN PetscErrorCode DMCreateSectionPermutation(DM, IS *, PetscBT *);
255: PETSC_EXTERN PetscErrorCode DMReorderSectionGetDefault(DM, DMReorderDefaultFlag *);
256: PETSC_EXTERN PetscErrorCode DMReorderSectionSetDefault(DM, DMReorderDefaultFlag);
257: PETSC_EXTERN PetscErrorCode DMReorderSectionGetType(DM, MatOrderingType *);
258: PETSC_EXTERN PetscErrorCode DMReorderSectionSetType(DM, MatOrderingType);
259: PETSC_EXTERN PetscErrorCode DMUseTensorOrder(DM, PetscBool);
260: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetSection()", ) PetscErrorCode DMGetDefaultSection(DM dm, PetscSection *s)
261: {
262: return DMGetSection(dm, s);
263: }
264: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetSection()", ) PetscErrorCode DMSetDefaultSection(DM dm, PetscSection s)
265: {
266: return DMSetSection(dm, s);
267: }
268: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMGetGlobalSection()", ) PetscErrorCode DMGetDefaultGlobalSection(DM dm, PetscSection *s)
269: {
270: return DMGetGlobalSection(dm, s);
271: }
272: static inline PETSC_DEPRECATED_FUNCTION(3, 9, 0, "DMSetGlobalSection()", ) PetscErrorCode DMSetDefaultGlobalSection(DM dm, PetscSection s)
273: {
274: return DMSetGlobalSection(dm, s);
275: }
277: PETSC_EXTERN PetscErrorCode DMGetSectionSF(DM, PetscSF *);
278: PETSC_EXTERN PetscErrorCode DMSetSectionSF(DM, PetscSF);
279: PETSC_EXTERN PetscErrorCode DMCreateSectionSF(DM, PetscSection, PetscSection);
280: static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMGetSectionSF()", ) PetscErrorCode DMGetDefaultSF(DM dm, PetscSF *s)
281: {
282: return DMGetSectionSF(dm, s);
283: }
284: static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMSetSectionSF()", ) PetscErrorCode DMSetDefaultSF(DM dm, PetscSF s)
285: {
286: return DMSetSectionSF(dm, s);
287: }
288: static inline PETSC_DEPRECATED_FUNCTION(3, 12, 0, "DMCreateSectionSF()", ) PetscErrorCode DMCreateDefaultSF(DM dm, PetscSection l, PetscSection g)
289: {
290: return DMCreateSectionSF(dm, l, g);
291: }
292: PETSC_EXTERN PetscErrorCode DMGetPointSF(DM, PetscSF *);
293: PETSC_EXTERN PetscErrorCode DMSetPointSF(DM, PetscSF);
294: PETSC_EXTERN PetscErrorCode DMGetNaturalSF(DM, PetscSF *);
295: PETSC_EXTERN PetscErrorCode DMSetNaturalSF(DM, PetscSF);
297: PETSC_EXTERN PetscErrorCode DMGetDefaultConstraints(DM, PetscSection *, Mat *, Vec *);
298: PETSC_EXTERN PetscErrorCode DMSetDefaultConstraints(DM, PetscSection, Mat, Vec);
300: PETSC_EXTERN PetscErrorCode DMGetOutputDM(DM, DM *);
301: PETSC_EXTERN PetscErrorCode DMGetOutputSequenceNumber(DM, PetscInt *, PetscReal *);
302: PETSC_EXTERN PetscErrorCode DMSetOutputSequenceNumber(DM, PetscInt, PetscReal);
303: PETSC_EXTERN PetscErrorCode DMOutputSequenceLoad(DM, PetscViewer, const char[], PetscInt, PetscReal *);
304: PETSC_EXTERN PetscErrorCode DMGetOutputSequenceLength(DM, PetscViewer, const char[], PetscInt *);
306: PETSC_EXTERN PetscErrorCode DMGetNumFields(DM, PetscInt *);
307: PETSC_EXTERN PetscErrorCode DMSetNumFields(DM, PetscInt);
308: PETSC_EXTERN PetscErrorCode DMGetField(DM, PetscInt, DMLabel *, PetscObject *);
309: PETSC_EXTERN PetscErrorCode DMSetField(DM, PetscInt, DMLabel, PetscObject);
310: PETSC_EXTERN PetscErrorCode DMAddField(DM, DMLabel, PetscObject);
311: PETSC_EXTERN PetscErrorCode DMSetFieldAvoidTensor(DM, PetscInt, PetscBool);
312: PETSC_EXTERN PetscErrorCode DMGetFieldAvoidTensor(DM, PetscInt, PetscBool *);
313: PETSC_EXTERN PetscErrorCode DMClearFields(DM);
314: PETSC_EXTERN PetscErrorCode DMCopyFields(DM, DM);
315: PETSC_EXTERN PetscErrorCode DMGetAdjacency(DM, PetscInt, PetscBool *, PetscBool *);
316: PETSC_EXTERN PetscErrorCode DMSetAdjacency(DM, PetscInt, PetscBool, PetscBool);
317: PETSC_EXTERN PetscErrorCode DMGetBasicAdjacency(DM, PetscBool *, PetscBool *);
318: PETSC_EXTERN PetscErrorCode DMSetBasicAdjacency(DM, PetscBool, PetscBool);
320: PETSC_EXTERN PetscErrorCode DMGetNumDS(DM, PetscInt *);
321: PETSC_EXTERN PetscErrorCode DMGetDS(DM, PetscDS *);
322: PETSC_EXTERN PetscErrorCode DMGetCellDS(DM, PetscInt, PetscDS *, PetscDS *);
323: PETSC_EXTERN PetscErrorCode DMGetRegionDS(DM, DMLabel, IS *, PetscDS *, PetscDS *);
324: PETSC_EXTERN PetscErrorCode DMSetRegionDS(DM, DMLabel, IS, PetscDS, PetscDS);
325: PETSC_EXTERN PetscErrorCode DMGetRegionNumDS(DM, PetscInt, DMLabel *, IS *, PetscDS *, PetscDS *);
326: PETSC_EXTERN PetscErrorCode DMSetRegionNumDS(DM, PetscInt, DMLabel, IS, PetscDS, PetscDS);
327: PETSC_EXTERN PetscErrorCode DMFindRegionNum(DM, PetscDS, PetscInt *);
328: PETSC_EXTERN PetscErrorCode DMCreateFEDefault(DM, PetscInt, const char[], PetscInt, PetscFE *);
329: PETSC_EXTERN PetscErrorCode DMCreateDS(DM);
330: PETSC_EXTERN PetscErrorCode DMClearDS(DM);
331: PETSC_EXTERN PetscErrorCode DMCopyDS(DM, DM);
332: PETSC_EXTERN PetscErrorCode DMCopyDisc(DM, DM);
333: PETSC_EXTERN PetscErrorCode DMComputeExactSolution(DM, PetscReal, Vec, Vec);
334: PETSC_EXTERN PetscErrorCode DMGetNumAuxiliaryVec(DM, PetscInt *);
335: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec *);
336: PETSC_EXTERN PetscErrorCode DMSetAuxiliaryVec(DM, DMLabel, PetscInt, PetscInt, Vec);
337: PETSC_EXTERN PetscErrorCode DMGetAuxiliaryLabels(DM, DMLabel[], PetscInt[], PetscInt[]);
338: PETSC_EXTERN PetscErrorCode DMCopyAuxiliaryVec(DM, DM);
339: PETSC_EXTERN PetscErrorCode DMClearAuxiliaryVec(DM);
341: /*MC
342: DMInterpolationInfo - Structure for holding information about interpolation on a mesh
344: Synopsis:
345: comm - The communicator
346: dim - The spatial dimension of points
347: nInput - The number of input points
348: points - The input point coordinates
349: cells - The cell containing each point
350: n - The number of local points
351: coords - The point coordinates
352: dof - The number of components to interpolate
354: Level: intermediate
356: .seealso: [](ch_dmbase), `DM`, `DMInterpolationCreate()`, `DMInterpolationEvaluate()`, `DMInterpolationAddPoints()`
357: M*/
358: struct _DMInterpolationInfo {
359: MPI_Comm comm;
360: PetscInt dim; /*1 The spatial dimension of points */
361: PetscInt nInput; /* The number of input points */
362: PetscReal *points; /* The input point coordinates */
363: PetscInt *cells; /* The cell containing each point */
364: PetscInt n; /* The number of local points */
365: Vec coords; /* The point coordinates */
366: PetscInt dof; /* The number of components to interpolate */
367: };
368: typedef struct _DMInterpolationInfo *DMInterpolationInfo;
370: PETSC_EXTERN PetscErrorCode DMInterpolationCreate(MPI_Comm, DMInterpolationInfo *);
371: PETSC_EXTERN PetscErrorCode DMInterpolationSetDim(DMInterpolationInfo, PetscInt);
372: PETSC_EXTERN PetscErrorCode DMInterpolationGetDim(DMInterpolationInfo, PetscInt *);
373: PETSC_EXTERN PetscErrorCode DMInterpolationSetDof(DMInterpolationInfo, PetscInt);
374: PETSC_EXTERN PetscErrorCode DMInterpolationGetDof(DMInterpolationInfo, PetscInt *);
375: PETSC_EXTERN PetscErrorCode DMInterpolationAddPoints(DMInterpolationInfo, PetscInt, PetscReal[]);
376: PETSC_EXTERN PetscErrorCode DMInterpolationSetUp(DMInterpolationInfo, DM, PetscBool, PetscBool);
377: PETSC_EXTERN PetscErrorCode DMInterpolationGetCoordinates(DMInterpolationInfo, Vec *);
378: PETSC_EXTERN PetscErrorCode DMInterpolationGetVector(DMInterpolationInfo, Vec *);
379: PETSC_EXTERN PetscErrorCode DMInterpolationRestoreVector(DMInterpolationInfo, Vec *);
380: PETSC_EXTERN PetscErrorCode DMInterpolationEvaluate(DMInterpolationInfo, DM, Vec, Vec);
381: PETSC_EXTERN PetscErrorCode DMInterpolationDestroy(DMInterpolationInfo *);
383: PETSC_EXTERN PetscErrorCode DMCreateLabel(DM, const char[]);
384: PETSC_EXTERN PetscErrorCode DMCreateLabelAtIndex(DM, PetscInt, const char[]);
385: PETSC_EXTERN PetscErrorCode DMGetLabelValue(DM, const char[], PetscInt, PetscInt *);
386: PETSC_EXTERN PetscErrorCode DMSetLabelValue(DM, const char[], PetscInt, PetscInt);
387: PETSC_EXTERN PetscErrorCode DMClearLabelValue(DM, const char[], PetscInt, PetscInt);
388: PETSC_EXTERN PetscErrorCode DMGetLabelSize(DM, const char[], PetscInt *);
389: PETSC_EXTERN PetscErrorCode DMGetLabelIdIS(DM, const char[], IS *);
390: PETSC_EXTERN PetscErrorCode DMGetStratumSize(DM, const char[], PetscInt, PetscInt *);
391: PETSC_EXTERN PetscErrorCode DMGetStratumIS(DM, const char[], PetscInt, IS *);
392: PETSC_EXTERN PetscErrorCode DMSetStratumIS(DM, const char[], PetscInt, IS);
393: PETSC_EXTERN PetscErrorCode DMClearLabelStratum(DM, const char[], PetscInt);
394: PETSC_EXTERN PetscErrorCode DMGetLabelOutput(DM, const char[], PetscBool *);
395: PETSC_EXTERN PetscErrorCode DMSetLabelOutput(DM, const char[], PetscBool);
396: PETSC_EXTERN PetscErrorCode DMGetFirstLabeledPoint(DM, DM, DMLabel, PetscInt, const PetscInt *, PetscInt, PetscInt *, PetscDS *);
398: /*E
399: DMCopyLabelsMode - Determines how `DMCopyLabels()` behaves when there is a `DMLabel` in the source and destination `DM`s with the same name
401: Values:
402: + `DM_COPY_LABELS_REPLACE` - replace label in destination by label from source
403: . `DM_COPY_LABELS_KEEP` - keep destination label
404: - `DM_COPY_LABELS_FAIL` - generate an error
406: Level: advanced
408: .seealso: [](ch_dmbase), `DMLabel`, `DM`, `DMCompareLabels()`, `DMRemoveLabel()`
409: E*/
410: typedef enum {
411: DM_COPY_LABELS_REPLACE,
412: DM_COPY_LABELS_KEEP,
413: DM_COPY_LABELS_FAIL
414: } DMCopyLabelsMode;
415: PETSC_EXTERN const char *const DMCopyLabelsModes[];
417: PETSC_EXTERN PetscErrorCode DMGetNumLabels(DM, PetscInt *);
418: PETSC_EXTERN PetscErrorCode DMGetLabelName(DM, PetscInt, const char **);
419: PETSC_EXTERN PetscErrorCode DMHasLabel(DM, const char[], PetscBool *);
420: PETSC_EXTERN PetscErrorCode DMGetLabel(DM, const char *, DMLabel *);
421: PETSC_EXTERN PetscErrorCode DMSetLabel(DM, DMLabel);
422: PETSC_EXTERN PetscErrorCode DMGetLabelByNum(DM, PetscInt, DMLabel *);
423: PETSC_EXTERN PetscErrorCode DMAddLabel(DM, DMLabel);
424: PETSC_EXTERN PetscErrorCode DMRemoveLabel(DM, const char[], DMLabel *);
425: PETSC_EXTERN PetscErrorCode DMRemoveLabelBySelf(DM, DMLabel *, PetscBool);
426: PETSC_EXTERN PetscErrorCode DMCopyLabels(DM, DM, PetscCopyMode, PetscBool, DMCopyLabelsMode emode);
427: PETSC_EXTERN PetscErrorCode DMCompareLabels(DM, DM, PetscBool *, char **);
429: PETSC_EXTERN PetscErrorCode DMAddBoundary(DM, DMBoundaryConditionType, const char[], DMLabel, PetscInt, const PetscInt[], PetscInt, PetscInt, const PetscInt[], void (*)(void), void (*)(void), void *, PetscInt *);
430: PETSC_EXTERN PetscErrorCode DMIsBoundaryPoint(DM, PetscInt, PetscBool *);
432: PETSC_EXTERN PetscErrorCode DMProjectFunction(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
433: PETSC_EXTERN PetscErrorCode DMProjectFunctionLocal(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
434: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
435: PETSC_EXTERN PetscErrorCode DMProjectFunctionLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, InsertMode, Vec);
436: PETSC_EXTERN PetscErrorCode DMProjectFieldLocal(DM, PetscReal, Vec, void (**)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), InsertMode, Vec);
437: PETSC_EXTERN PetscErrorCode DMProjectFieldLabel(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Vec, void (**funcs)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), InsertMode, Vec);
438: PETSC_EXTERN PetscErrorCode DMProjectFieldLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Vec, void (**)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), InsertMode, Vec);
439: PETSC_EXTERN PetscErrorCode DMProjectBdFieldLabelLocal(DM, PetscReal, DMLabel, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Vec, void (**)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), InsertMode, Vec);
440: PETSC_EXTERN PetscErrorCode DMComputeL2Diff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
441: PETSC_EXTERN PetscErrorCode DMComputeL2GradientDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, const PetscReal[], PetscReal *);
442: PETSC_EXTERN PetscErrorCode DMComputeL2FieldDiff(DM, PetscReal, PetscErrorCode (**)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **, Vec, PetscReal *);
443: PETSC_EXTERN PetscErrorCode DMComputeError(DM, Vec, PetscReal[], Vec *);
444: PETSC_EXTERN PetscErrorCode DMHasBasisTransform(DM, PetscBool *);
445: PETSC_EXTERN PetscErrorCode DMCopyTransform(DM, DM);
447: PETSC_EXTERN PetscErrorCode DMGetCompatibility(DM, DM, PetscBool *, PetscBool *);
449: PETSC_EXTERN PetscErrorCode DMMonitorSet(DM, PetscErrorCode (*)(DM, void *), void *, PetscErrorCode (*)(void **));
450: PETSC_EXTERN PetscErrorCode DMMonitorCancel(DM);
451: PETSC_EXTERN PetscErrorCode DMMonitorSetFromOptions(DM, const char[], const char[], const char[], PetscErrorCode (*)(DM, void *), PetscErrorCode (*)(DM, PetscViewerAndFormat *), PetscBool *);
452: PETSC_EXTERN PetscErrorCode DMMonitor(DM);
454: static inline PetscBool DMPolytopeTypeIsHybrid(DMPolytopeType ct)
455: {
456: switch (ct) {
457: case DM_POLYTOPE_POINT_PRISM_TENSOR:
458: case DM_POLYTOPE_SEG_PRISM_TENSOR:
459: case DM_POLYTOPE_TRI_PRISM_TENSOR:
460: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
461: return PETSC_TRUE;
462: default:
463: return PETSC_FALSE;
464: }
465: }
467: static inline PetscInt DMPolytopeTypeGetDim(DMPolytopeType ct)
468: {
469: switch (ct) {
470: case DM_POLYTOPE_POINT:
471: return 0;
472: case DM_POLYTOPE_SEGMENT:
473: case DM_POLYTOPE_POINT_PRISM_TENSOR:
474: return 1;
475: case DM_POLYTOPE_TRIANGLE:
476: case DM_POLYTOPE_QUADRILATERAL:
477: case DM_POLYTOPE_SEG_PRISM_TENSOR:
478: case DM_POLYTOPE_UNKNOWN_FACE:
479: return 2;
480: case DM_POLYTOPE_TETRAHEDRON:
481: case DM_POLYTOPE_HEXAHEDRON:
482: case DM_POLYTOPE_TRI_PRISM:
483: case DM_POLYTOPE_TRI_PRISM_TENSOR:
484: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
485: case DM_POLYTOPE_PYRAMID:
486: case DM_POLYTOPE_UNKNOWN_CELL:
487: return 3;
488: default:
489: return -1;
490: }
491: }
493: static inline PetscInt DMPolytopeTypeGetConeSize(DMPolytopeType ct)
494: {
495: switch (ct) {
496: case DM_POLYTOPE_POINT:
497: return 0;
498: case DM_POLYTOPE_SEGMENT:
499: return 2;
500: case DM_POLYTOPE_POINT_PRISM_TENSOR:
501: return 2;
502: case DM_POLYTOPE_TRIANGLE:
503: return 3;
504: case DM_POLYTOPE_QUADRILATERAL:
505: return 4;
506: case DM_POLYTOPE_SEG_PRISM_TENSOR:
507: return 4;
508: case DM_POLYTOPE_TETRAHEDRON:
509: return 4;
510: case DM_POLYTOPE_HEXAHEDRON:
511: return 6;
512: case DM_POLYTOPE_TRI_PRISM:
513: return 5;
514: case DM_POLYTOPE_TRI_PRISM_TENSOR:
515: return 5;
516: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
517: return 6;
518: case DM_POLYTOPE_PYRAMID:
519: return 5;
520: default:
521: return -1;
522: }
523: }
525: static inline PetscInt DMPolytopeTypeGetNumVertices(DMPolytopeType ct)
526: {
527: switch (ct) {
528: case DM_POLYTOPE_POINT:
529: return 1;
530: case DM_POLYTOPE_SEGMENT:
531: return 2;
532: case DM_POLYTOPE_POINT_PRISM_TENSOR:
533: return 2;
534: case DM_POLYTOPE_TRIANGLE:
535: return 3;
536: case DM_POLYTOPE_QUADRILATERAL:
537: return 4;
538: case DM_POLYTOPE_SEG_PRISM_TENSOR:
539: return 4;
540: case DM_POLYTOPE_TETRAHEDRON:
541: return 4;
542: case DM_POLYTOPE_HEXAHEDRON:
543: return 8;
544: case DM_POLYTOPE_TRI_PRISM:
545: return 6;
546: case DM_POLYTOPE_TRI_PRISM_TENSOR:
547: return 6;
548: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
549: return 8;
550: case DM_POLYTOPE_PYRAMID:
551: return 5;
552: default:
553: return -1;
554: }
555: }
557: static inline DMPolytopeType DMPolytopeTypeSimpleShape(PetscInt dim, PetscBool simplex)
558: {
559: return dim == 0 ? DM_POLYTOPE_POINT : (dim == 1 ? DM_POLYTOPE_SEGMENT : (dim == 2 ? (simplex ? DM_POLYTOPE_TRIANGLE : DM_POLYTOPE_QUADRILATERAL) : (dim == 3 ? (simplex ? DM_POLYTOPE_TETRAHEDRON : DM_POLYTOPE_HEXAHEDRON) : DM_POLYTOPE_UNKNOWN)));
560: }
562: static inline PetscInt DMPolytopeTypeGetNumArrangements(DMPolytopeType ct)
563: {
564: switch (ct) {
565: case DM_POLYTOPE_POINT:
566: return 1;
567: case DM_POLYTOPE_SEGMENT:
568: return 2;
569: case DM_POLYTOPE_POINT_PRISM_TENSOR:
570: return 2;
571: case DM_POLYTOPE_TRIANGLE:
572: return 6;
573: case DM_POLYTOPE_QUADRILATERAL:
574: return 8;
575: case DM_POLYTOPE_SEG_PRISM_TENSOR:
576: return 4;
577: case DM_POLYTOPE_TETRAHEDRON:
578: return 24;
579: case DM_POLYTOPE_HEXAHEDRON:
580: return 48;
581: case DM_POLYTOPE_TRI_PRISM:
582: return 12;
583: case DM_POLYTOPE_TRI_PRISM_TENSOR:
584: return 12;
585: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
586: return 16;
587: case DM_POLYTOPE_PYRAMID:
588: return 8;
589: default:
590: return -1;
591: }
592: }
594: /* An arrangement is a face order combined with an orientation for each face */
595: static inline const PetscInt *DMPolytopeTypeGetArrangement(DMPolytopeType ct, PetscInt o)
596: {
597: static const PetscInt pntArr[1 * 2] = {0, 0};
598: /* a: swap */
599: static const PetscInt segArr[2 * 2 * 2] = {1, 0, 0, 0, /* -1: a */
600: 0, 0, 1, 0,
601: /* 0: e */};
602: /* a: swap first two
603: b: swap last two */
604: static const PetscInt triArr[6 * 3 * 2] = {0, -1, 2, -1, 1, -1, /* -3: b */
605: 2, -1, 1, -1, 0, -1, /* -2: aba */
606: 1, -1, 0, -1, 2, -1, /* -1: a */
607: 0, 0, 1, 0, 2, 0, /* 0: identity */
608: 1, 0, 2, 0, 0, 0, /* 1: ba */
609: 2, 0, 0, 0, 1, 0,
610: /* 2: ab */};
611: /* a: forward cyclic permutation
612: b: swap first and last pairs */
613: static const PetscInt quadArr[8 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -4: b */
614: 0, -1, 3, -1, 2, -1, 1, -1, /* -3: b a^3 = a b */
615: 3, -1, 2, -1, 1, -1, 0, -1, /* -2: b a^2 = a^2 b */
616: 2, -1, 1, -1, 0, -1, 3, -1, /* -1: b a = a^3 b */
617: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */
618: 1, 0, 2, 0, 3, 0, 0, 0, /* 1: a */
619: 2, 0, 3, 0, 0, 0, 1, 0, /* 2: a^2 */
620: 3, 0, 0, 0, 1, 0, 2, 0,
621: /* 3: a^3 */};
622: /* r: rotate 180
623: b: swap top and bottom segments */
624: static const PetscInt tsegArr[4 * 4 * 2] = {1, -1, 0, -1, 3, -1, 2, -1, /* -2: r b */
625: 0, -1, 1, -1, 3, 0, 2, 0, /* -1: r */
626: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: identity */
627: 1, 0, 0, 0, 2, -1, 3, -1,
628: /* 1: b */};
629: /* https://en.wikiversity.org/wiki/Symmetric_group_S4 */
630: static const PetscInt tetArr[24 * 4 * 2] = {3, -2, 2, -3, 0, -1, 1, -1, /* -12: (1324) p22 */
631: 3, -1, 1, -3, 2, -1, 0, -1, /* -11: (14) p21 */
632: 3, -3, 0, -3, 1, -1, 2, -1, /* -10: (1234) p18 */
633: 2, -1, 3, -1, 1, -3, 0, -2, /* -9: (1423) p17 */
634: 2, -3, 0, -1, 3, -2, 1, -3, /* -8: (1342) p13 */
635: 2, -2, 1, -2, 0, -2, 3, -2, /* -7: (24) p14 */
636: 1, -2, 0, -2, 2, -2, 3, -1, /* -6: (34) p6 */
637: 1, -1, 3, -3, 0, -3, 2, -2, /* -5: (1243) p10 */
638: 1, -3, 2, -1, 3, -1, 0, -3, /* -4: (1432) p9 */
639: 0, -3, 1, -1, 3, -3, 2, -3, /* -3: (12) p1 */
640: 0, -2, 2, -2, 1, -2, 3, -3, /* -2: (23) p2 */
641: 0, -1, 3, -2, 2, -3, 1, -2, /* -1: (13) p5 */
642: 0, 0, 1, 0, 2, 0, 3, 0, /* 0: () p0 */
643: 0, 1, 3, 1, 1, 2, 2, 0, /* 1: (123) p4 */
644: 0, 2, 2, 1, 3, 0, 1, 2, /* 2: (132) p3 */
645: 1, 2, 0, 1, 3, 1, 2, 2, /* 3: (12)(34) p7 */
646: 1, 0, 2, 0, 0, 0, 3, 1, /* 4: (243) p8 */
647: 1, 1, 3, 2, 2, 2, 0, 0, /* 5: (143) p11 */
648: 2, 1, 3, 0, 0, 2, 1, 0, /* 6: (13)(24) p16 */
649: 2, 2, 1, 1, 3, 2, 0, 2, /* 7: (142) p15 */
650: 2, 0, 0, 0, 1, 0, 3, 2, /* 8: (234) p12 */
651: 3, 2, 2, 2, 1, 1, 0, 1, /* 9: (14)(23) p23 */
652: 3, 0, 0, 2, 2, 1, 1, 1, /* 10: (134) p19 */
653: 3, 1, 1, 2, 0, 1, 2, 1 /* 11: (124) p20 */};
654: /* Each rotation determines a permutation of the four diagonals, and this defines the isomorphism with S_4 */
655: static const PetscInt hexArr[48 * 6 * 2] = {
656: 2, -3, 3, -2, 4, -2, 5, -3, 1, -3, 0, -1, /* -24: reflect bottom and use -3 on top */
657: 4, -2, 5, -2, 0, -1, 1, -4, 3, -2, 2, -3, /* -23: reflect bottom and use -3 on top */
658: 5, -3, 4, -1, 1, -2, 0, -3, 3, -4, 2, -1, /* -22: reflect bottom and use -3 on top */
659: 3, -1, 2, -4, 4, -4, 5, -1, 0, -4, 1, -4, /* -21: reflect bottom and use -3 on top */
660: 3, -3, 2, -2, 5, -1, 4, -4, 1, -1, 0, -3, /* -20: reflect bottom and use -3 on top */
661: 4, -4, 5, -4, 1, -4, 0, -1, 2, -4, 3, -1, /* -19: reflect bottom and use -3 on top */
662: 2, -1, 3, -4, 5, -3, 4, -2, 0, -2, 1, -2, /* -18: reflect bottom and use -3 on top */
663: 5, -1, 4, -3, 0, -3, 1, -2, 2, -2, 3, -3, /* -17: reflect bottom and use -3 on top */
664: 4, -3, 5, -1, 3, -2, 2, -4, 1, -4, 0, -4, /* -16: reflect bottom and use -3 on top */
665: 5, -4, 4, -4, 3, -4, 2, -2, 0, -3, 1, -1, /* -15: reflect bottom and use -3 on top */
666: 3, -4, 2, -1, 1, -1, 0, -4, 4, -4, 5, -4, /* -14: reflect bottom and use -3 on top */
667: 2, -2, 3, -3, 0, -2, 1, -3, 4, -2, 5, -2, /* -13: reflect bottom and use -3 on top */
668: 1, -3, 0, -1, 4, -1, 5, -4, 3, -1, 2, -4, /* -12: reflect bottom and use -3 on top */
669: 1, -1, 0, -3, 5, -4, 4, -1, 2, -1, 3, -4, /* -11: reflect bottom and use -3 on top */
670: 5, -2, 4, -2, 2, -2, 3, -4, 1, -2, 0, -2, /* -10: reflect bottom and use -3 on top */
671: 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, 5, -3, /* -9: reflect bottom and use -3 on top */
672: 4, -1, 5, -3, 2, -4, 3, -2, 0, -1, 1, -3, /* -8: reflect bottom and use -3 on top */
673: 3, -2, 2, -3, 0, -4, 1, -1, 5, -1, 4, -3, /* -7: reflect bottom and use -3 on top */
674: 1, -4, 0, -4, 3, -1, 2, -1, 5, -4, 4, -4, /* -6: reflect bottom and use -3 on top */
675: 2, -4, 3, -1, 1, -3, 0, -2, 5, -3, 4, -1, /* -5: reflect bottom and use -3 on top */
676: 0, -4, 1, -4, 4, -3, 5, -2, 2, -3, 3, -2, /* -4: reflect bottom and use -3 on top */
677: 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, 5, -1, /* -3: reflect bottom and use -3 on top */
678: 0, -2, 1, -2, 5, -2, 4, -3, 3, -3, 2, -2, /* -2: reflect bottom and use -3 on top */
679: 0, -1, 1, -3, 2, -3, 3, -3, 5, -2, 4, -2, /* -1: reflect bottom and use -3 on top */
680: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */
681: 0, 1, 1, 3, 5, 3, 4, 0, 2, 0, 3, 1, /* 1: 90 rotation about z */
682: 0, 2, 1, 2, 3, 0, 2, 0, 5, 3, 4, 1, /* 2: 180 rotation about z */
683: 0, 3, 1, 1, 4, 0, 5, 3, 3, 0, 2, 1, /* 3: 270 rotation about z */
684: 2, 3, 3, 2, 1, 0, 0, 3, 4, 3, 5, 1, /* 4: 90 rotation about x */
685: 1, 3, 0, 1, 3, 2, 2, 2, 4, 2, 5, 2, /* 5: 180 rotation about x */
686: 3, 1, 2, 0, 0, 1, 1, 2, 4, 1, 5, 3, /* 6: 270 rotation about x */
687: 4, 0, 5, 0, 2, 1, 3, 3, 1, 1, 0, 3, /* 7: 90 rotation about y */
688: 1, 1, 0, 3, 2, 2, 3, 2, 5, 1, 4, 3, /* 8: 180 rotation about y */
689: 5, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 0, /* 9: 270 rotation about y */
690: 1, 0, 0, 0, 5, 1, 4, 2, 3, 2, 2, 3, /* 10: 180 rotation about x+y */
691: 1, 2, 0, 2, 4, 2, 5, 1, 2, 2, 3, 3, /* 11: 180 rotation about x-y */
692: 2, 1, 3, 0, 0, 3, 1, 0, 5, 0, 4, 0, /* 12: 180 rotation about y+z */
693: 3, 3, 2, 2, 1, 2, 0, 1, 5, 2, 4, 2, /* 13: 180 rotation about y-z */
694: 5, 3, 4, 1, 3, 1, 2, 3, 1, 3, 0, 1, /* 14: 180 rotation about z+x */
695: 4, 2, 5, 2, 3, 3, 2, 1, 0, 2, 1, 2, /* 15: 180 rotation about z-x */
696: 5, 0, 4, 0, 0, 0, 1, 3, 3, 1, 2, 0, /* 16: 120 rotation about x+y+z (v0v6) */
697: 2, 0, 3, 1, 5, 0, 4, 3, 1, 0, 0, 0, /* 17: 240 rotation about x+y+z (v0v6) */
698: 4, 3, 5, 1, 1, 1, 0, 2, 3, 3, 2, 2, /* 18: 120 rotation about x+y-z (v4v2) */
699: 3, 2, 2, 3, 5, 2, 4, 1, 0, 1, 1, 3, /* 19: 240 rotation about x+y-z (v4v2) */
700: 3, 0, 2, 1, 4, 1, 5, 2, 1, 2, 0, 2, /* 20: 120 rotation about x-y+z (v1v5) */
701: 5, 2, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */
702: 4, 1, 5, 3, 0, 2, 1, 1, 2, 1, 3, 0, /* 22: 120 rotation about x-y-z (v7v3) */
703: 2, 2, 3, 3, 4, 3, 5, 0, 0, 3, 1, 1, /* 23: 240 rotation about x-y-z (v7v3) */
704: };
705: static const PetscInt tripArr[12 * 5 * 2] = {
706: 1, -3, 0, -1, 3, -1, 4, -1, 2, -1, /* -6: reflect bottom and top */
707: 1, -1, 0, -3, 4, -1, 2, -1, 3, -1, /* -5: reflect bottom and top */
708: 1, -2, 0, -2, 2, -1, 3, -1, 4, -1, /* -4: reflect bottom and top */
709: 0, -3, 1, -1, 3, -3, 2, -3, 4, -3, /* -3: reflect bottom and top */
710: 0, -2, 1, -2, 4, -3, 3, -3, 2, -3, /* -2: reflect bottom and top */
711: 0, -1, 1, -3, 2, -3, 4, -3, 3, -3, /* -1: reflect bottom and top */
712: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
713: 0, 1, 1, 2, 4, 0, 2, 0, 3, 0, /* 1: 120 rotation about z */
714: 0, 2, 1, 1, 3, 0, 4, 0, 2, 0, /* 2: 240 rotation about z */
715: 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, /* 3: 180 rotation about y of 0 */
716: 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, /* 4: 180 rotation about y of 1 */
717: 1, 2, 0, 1, 3, 2, 2, 2, 4, 2, /* 5: 180 rotation about y of 2 */
718: };
719: /* a: rotate 120 about z
720: b: swap top and bottom segments
721: r: reflect */
722: static const PetscInt ttriArr[12 * 5 * 2] = {
723: 1, -3, 0, -3, 2, -2, 4, -2, 3, -2, /* -6: r b a^2 */
724: 1, -2, 0, -2, 4, -2, 3, -2, 2, -2, /* -5: r b a */
725: 1, -1, 0, -1, 3, -2, 2, -2, 4, -2, /* -4: r b */
726: 0, -3, 1, -3, 2, -1, 4, -1, 3, -1, /* -3: r a^2 */
727: 0, -2, 1, -2, 4, -1, 3, -1, 2, -1, /* -2: r a */
728: 0, -1, 1, -1, 3, -1, 2, -1, 4, -1, /* -1: r */
729: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
730: 0, 1, 1, 1, 3, 0, 4, 0, 2, 0, /* 1: a */
731: 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, /* 2: a^2 */
732: 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, /* 3: b */
733: 1, 1, 0, 1, 3, 1, 4, 1, 2, 1, /* 4: b a */
734: 1, 2, 0, 2, 4, 1, 2, 1, 3, 1, /* 5: b a^2 */
735: };
736: /* a: rotate 90 about z
737: b: swap top and bottom segments
738: r: reflect */
739: static const PetscInt tquadArr[16 * 6 * 2] = {
740: 1, -4, 0, -4, 3, -2, 2, -2, 5, -2, 4, -2, /* -8: r b a^3 */
741: 1, -3, 0, -3, 2, -2, 5, -2, 4, -2, 3, -2, /* -7: r b a^2 */
742: 1, -2, 0, -2, 5, -2, 4, -2, 3, -2, 2, -2, /* -6: r b a */
743: 1, -1, 0, -1, 4, -2, 3, -2, 2, -2, 5, -2, /* -5: r b */
744: 0, -4, 1, -4, 3, -1, 2, -1, 5, -1, 4, -1, /* -4: r a^3 */
745: 0, -3, 1, -3, 2, -1, 5, -1, 4, -1, 3, -1, /* -3: r a^2 */
746: 0, -2, 1, -2, 5, -1, 4, -1, 3, -1, 2, -1, /* -2: r a */
747: 0, -1, 1, -1, 4, -1, 3, -1, 2, -1, 5, -1, /* -1: r */
748: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, /* 0: identity */
749: 0, 1, 1, 1, 3, 0, 4, 0, 5, 0, 2, 0, /* 1: a */
750: 0, 2, 1, 2, 4, 0, 5, 0, 2, 0, 3, 0, /* 2: a^2 */
751: 0, 3, 1, 3, 5, 0, 2, 0, 3, 0, 4, 0, /* 3: a^3 */
752: 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 5, 1, /* 4: b */
753: 1, 1, 0, 1, 3, 1, 4, 1, 5, 1, 2, 1, /* 5: b a */
754: 1, 2, 0, 2, 4, 1, 5, 1, 2, 1, 3, 1, /* 6: b a^2 */
755: 1, 3, 0, 3, 5, 1, 2, 1, 3, 1, 4, 1, /* 7: b a^3 */
756: };
757: static const PetscInt pyrArr[8 * 5 * 2] = {
758: 0, -4, 2, -3, 1, -3, 4, -3, 3, -3, /* -4: Reflect bottom face */
759: 0, -3, 3, -3, 2, -3, 1, -3, 4, -3, /* -3: Reflect bottom face */
760: 0, -2, 4, -3, 3, -3, 2, -3, 1, -3, /* -2: Reflect bottom face */
761: 0, -1, 1, -3, 4, -3, 3, -3, 2, -3, /* -1: Reflect bottom face */
762: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, /* 0: identity */
763: 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, /* 1: 90 rotation about z */
764: 0, 2, 3, 0, 4, 0, 1, 0, 2, 0, /* 2: 180 rotation about z */
765: 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, /* 3: 270 rotation about z */
766: };
767: switch (ct) {
768: case DM_POLYTOPE_POINT:
769: return pntArr;
770: case DM_POLYTOPE_SEGMENT:
771: return &segArr[(o + 1) * 2 * 2];
772: case DM_POLYTOPE_POINT_PRISM_TENSOR:
773: return &segArr[(o + 1) * 2 * 2];
774: case DM_POLYTOPE_TRIANGLE:
775: return &triArr[(o + 3) * 3 * 2];
776: case DM_POLYTOPE_QUADRILATERAL:
777: return &quadArr[(o + 4) * 4 * 2];
778: case DM_POLYTOPE_SEG_PRISM_TENSOR:
779: return &tsegArr[(o + 2) * 4 * 2];
780: case DM_POLYTOPE_TETRAHEDRON:
781: return &tetArr[(o + 12) * 4 * 2];
782: case DM_POLYTOPE_HEXAHEDRON:
783: return &hexArr[(o + 24) * 6 * 2];
784: case DM_POLYTOPE_TRI_PRISM:
785: return &tripArr[(o + 6) * 5 * 2];
786: case DM_POLYTOPE_TRI_PRISM_TENSOR:
787: return &ttriArr[(o + 6) * 5 * 2];
788: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
789: return &tquadArr[(o + 8) * 6 * 2];
790: case DM_POLYTOPE_PYRAMID:
791: return &pyrArr[(o + 4) * 5 * 2];
792: default:
793: return PETSC_NULLPTR;
794: }
795: }
797: /* A vertex arrangement is a vertex order */
798: static inline const PetscInt *DMPolytopeTypeGetVertexArrangement(DMPolytopeType ct, PetscInt o)
799: {
800: static const PetscInt pntVerts[1] = {0};
801: static const PetscInt segVerts[2 * 2] = {1, 0, 0, 1};
802: static const PetscInt triVerts[6 * 3] = {1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1};
803: static const PetscInt quadVerts[8 * 4] = {2, 1, 0, 3, 1, 0, 3, 2, 0, 3, 2, 1, 3, 2, 1, 0, 0, 1, 2, 3, 1, 2, 3, 0, 2, 3, 0, 1, 3, 0, 1, 2};
804: static const PetscInt tsegVerts[4 * 4] = {3, 2, 1, 0, 1, 0, 3, 2, 0, 1, 2, 3, 2, 3, 0, 1};
805: static const PetscInt tetVerts[24 * 4] = {2, 3, 1, 0, /* -12: (1324) p22 */
806: 3, 1, 2, 0, /* -11: (14) p21 */
807: 1, 2, 3, 0, /* -10: (1234) p18 */
808: 3, 2, 0, 1, /* -9: (1423) p17 */
809: 2, 0, 3, 1, /* -8: (1342) p13 */
810: 0, 3, 2, 1, /* -7: (24) p14 */
811: 0, 1, 3, 2, /* -6: (34) p6 */
812: 1, 3, 0, 2, /* -5: (1243) p10 */
813: 3, 0, 1, 2, /* -4: (1432 p9 */
814: 1, 0, 2, 3, /* -3: (12) p1 */
815: 0, 2, 1, 3, /* -2: (23) p2 */
816: 2, 1, 0, 3, /* -1: (13) p5 */
817: 0, 1, 2, 3, /* 0: () p0 */
818: 1, 2, 0, 3, /* 1: (123) p4 */
819: 2, 0, 1, 3, /* 2: (132) p3 */
820: 1, 0, 3, 2, /* 3: (12)(34) p7 */
821: 0, 3, 1, 2, /* 4: (243) p8 */
822: 3, 1, 0, 2, /* 5: (143) p11 */
823: 2, 3, 0, 1, /* 6: (13)(24) p16 */
824: 3, 0, 2, 1, /* 7: (142) p15 */
825: 0, 2, 3, 1, /* 8: (234) p12 */
826: 3, 2, 1, 0, /* 9: (14)(23) p23 */
827: 2, 1, 3, 0, /* 10: (134) p19 */
828: 1, 3, 2, 0 /* 11: (124) p20 */};
829: static const PetscInt hexVerts[48 * 8] = {
830: 3, 0, 4, 5, 2, 6, 7, 1, /* -24: reflected 23 */
831: 3, 5, 6, 2, 0, 1, 7, 4, /* -23: reflected 22 */
832: 4, 0, 1, 7, 5, 6, 2, 3, /* -22: reflected 21 */
833: 6, 7, 1, 2, 5, 3, 0, 4, /* -21: reflected 20 */
834: 1, 2, 6, 7, 0, 4, 5, 3, /* -20: reflected 19 */
835: 6, 2, 3, 5, 7, 4, 0, 1, /* -19: reflected 18 */
836: 4, 5, 3, 0, 7, 1, 2, 6, /* -18: reflected 17 */
837: 1, 7, 4, 0, 2, 3, 5, 6, /* -17: reflected 16 */
838: 2, 3, 5, 6, 1, 7, 4, 0, /* -16: reflected 15 */
839: 7, 4, 0, 1, 6, 2, 3, 5, /* -15: reflected 14 */
840: 7, 1, 2, 6, 4, 5, 3, 0, /* -14: reflected 13 */
841: 0, 4, 5, 3, 1, 2, 6, 7, /* -13: reflected 12 */
842: 5, 4, 7, 6, 3, 2, 1, 0, /* -12: reflected 11 */
843: 7, 6, 5, 4, 1, 0, 3, 2, /* -11: reflected 10 */
844: 0, 1, 7, 4, 3, 5, 6, 2, /* -10: reflected 9 */
845: 4, 7, 6, 5, 0, 3, 2, 1, /* -9: reflected 8 */
846: 5, 6, 2, 3, 4, 0, 1, 7, /* -8: reflected 7 */
847: 2, 6, 7, 1, 3, 0, 4, 5, /* -7: reflected 6 */
848: 6, 5, 4, 7, 2, 1, 0, 3, /* -6: reflected 5 */
849: 5, 3, 0, 4, 6, 7, 1, 2, /* -5: reflected 4 */
850: 2, 1, 0, 3, 6, 5, 4, 7, /* -4: reflected 3 */
851: 1, 0, 3, 2, 7, 6, 5, 4, /* -3: reflected 2 */
852: 0, 3, 2, 1, 4, 7, 6, 5, /* -2: reflected 1 */
853: 3, 2, 1, 0, 5, 4, 7, 6, /* -1: reflected 0 */
854: 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */
855: 1, 2, 3, 0, 7, 4, 5, 6, /* 1: 90 rotation about z */
856: 2, 3, 0, 1, 6, 7, 4, 5, /* 2: 180 rotation about z */
857: 3, 0, 1, 2, 5, 6, 7, 4, /* 3: 270 rotation about z */
858: 4, 0, 3, 5, 7, 6, 2, 1, /* 4: 90 rotation about x */
859: 7, 4, 5, 6, 1, 2, 3, 0, /* 5: 180 rotation about x */
860: 1, 7, 6, 2, 0, 3, 5, 4, /* 6: 270 rotation about x */
861: 3, 2, 6, 5, 0, 4, 7, 1, /* 7: 90 rotation about y */
862: 5, 6, 7, 4, 3, 0, 1, 2, /* 8: 180 rotation about y */
863: 4, 7, 1, 0, 5, 3, 2, 6, /* 9: 270 rotation about y */
864: 4, 5, 6, 7, 0, 1, 2, 3, /* 10: 180 rotation about x+y */
865: 6, 7, 4, 5, 2, 3, 0, 1, /* 11: 180 rotation about x-y */
866: 3, 5, 4, 0, 2, 1, 7, 6, /* 12: 180 rotation about y+z */
867: 6, 2, 1, 7, 5, 4, 0, 3, /* 13: 180 rotation about y-z */
868: 1, 0, 4, 7, 2, 6, 5, 3, /* 14: 180 rotation about z+x */
869: 6, 5, 3, 2, 7, 1, 0, 4, /* 15: 180 rotation about z-x */
870: 0, 4, 7, 1, 3, 2, 6, 5, /* 16: 120 rotation about x+y+z (v0v6) */
871: 0, 3, 5, 4, 1, 7, 6, 2, /* 17: 240 rotation about x+y+z (v0v6) */
872: 5, 3, 2, 6, 4, 7, 1, 0, /* 18: 120 rotation about x+y-z (v4v2) */
873: 7, 6, 2, 1, 4, 0, 3, 5, /* 19: 240 rotation about x+y-z (v4v2) */
874: 2, 1, 7, 6, 3, 5, 4, 0, /* 20: 120 rotation about x-y+z (v1v5) */
875: 7, 1, 0, 4, 6, 5, 3, 2, /* 21: 240 rotation about x-y+z (v1v5) */
876: 2, 6, 5, 3, 1, 0, 4, 7, /* 22: 120 rotation about x-y-z (v7v3) */
877: 5, 4, 0, 3, 6, 2, 1, 7, /* 23: 240 rotation about x-y-z (v7v3) */
878: };
879: static const PetscInt tripVerts[12 * 6] = {
880: 4, 3, 5, 2, 1, 0, /* -6: reflect bottom and top */
881: 5, 4, 3, 1, 0, 2, /* -5: reflect bottom and top */
882: 3, 5, 4, 0, 2, 1, /* -4: reflect bottom and top */
883: 1, 0, 2, 5, 4, 3, /* -3: reflect bottom and top */
884: 0, 2, 1, 3, 5, 4, /* -2: reflect bottom and top */
885: 2, 1, 0, 4, 3, 5, /* -1: reflect bottom and top */
886: 0, 1, 2, 3, 4, 5, /* 0: identity */
887: 1, 2, 0, 5, 3, 4, /* 1: 120 rotation about z */
888: 2, 0, 1, 4, 5, 3, /* 2: 240 rotation about z */
889: 4, 5, 3, 2, 0, 1, /* 3: 180 rotation about y of 0 */
890: 3, 4, 5, 0, 1, 2, /* 4: 180 rotation about y of 1 */
891: 5, 3, 4, 1, 2, 0, /* 5: 180 rotation about y of 2 */
892: };
893: static const PetscInt ttriVerts[12 * 6] = {
894: 4, 3, 5, 1, 0, 2, /* -6: r b a^2 */
895: 3, 5, 4, 0, 2, 1, /* -5: r b a */
896: 5, 4, 3, 2, 1, 0, /* -4: r b */
897: 1, 0, 2, 4, 3, 5, /* -3: r a^2 */
898: 0, 2, 1, 3, 5, 4, /* -2: r a */
899: 2, 1, 0, 5, 4, 3, /* -1: r */
900: 0, 1, 2, 3, 4, 5, /* 0: identity */
901: 1, 2, 0, 4, 5, 3, /* 1: a */
902: 2, 0, 1, 5, 3, 4, /* 2: a^2 */
903: 3, 4, 5, 0, 1, 2, /* 3: b */
904: 4, 5, 3, 1, 2, 0, /* 4: b a */
905: 5, 3, 4, 2, 0, 1, /* 5: b a^2 */
906: };
907: /* a: rotate 90 about z
908: b: swap top and bottom segments
909: r: reflect */
910: static const PetscInt tquadVerts[16 * 8] = {
911: 6, 5, 4, 7, 2, 1, 0, 3, /* -8: r b a^3 */
912: 5, 4, 7, 6, 1, 0, 3, 2, /* -7: r b a^2 */
913: 4, 7, 6, 5, 0, 3, 2, 1, /* -6: r b a */
914: 7, 6, 5, 4, 3, 2, 1, 0, /* -5: r b */
915: 2, 1, 0, 3, 6, 5, 4, 7, /* -4: r a^3 */
916: 1, 0, 3, 2, 5, 4, 7, 6, /* -3: r a^2 */
917: 0, 3, 2, 1, 4, 7, 6, 5, /* -2: r a */
918: 3, 2, 1, 0, 7, 6, 5, 4, /* -1: r */
919: 0, 1, 2, 3, 4, 5, 6, 7, /* 0: identity */
920: 1, 2, 3, 0, 5, 6, 7, 4, /* 1: a */
921: 2, 3, 0, 1, 6, 7, 4, 5, /* 2: a^2 */
922: 3, 0, 1, 2, 7, 4, 5, 6, /* 3: a^3 */
923: 4, 5, 6, 7, 0, 1, 2, 3, /* 4: b */
924: 5, 6, 7, 4, 1, 2, 3, 0, /* 5: b a */
925: 6, 7, 4, 5, 2, 3, 0, 1, /* 6: b a^2 */
926: 7, 4, 5, 6, 3, 0, 1, 2, /* 7: b a^3 */
927: };
928: static const PetscInt pyrVerts[8 * 5] = {
929: 2, 1, 0, 3, 4, /* -4: Reflect bottom face */
930: 1, 0, 3, 2, 4, /* -3: Reflect bottom face */
931: 0, 3, 2, 1, 4, /* -2: Reflect bottom face */
932: 3, 2, 1, 0, 4, /* -1: Reflect bottom face */
933: 0, 1, 2, 3, 4, /* 0: identity */
934: 1, 2, 3, 0, 4, /* 1: 90 rotation about z */
935: 2, 3, 0, 1, 4, /* 2: 180 rotation about z */
936: 3, 0, 1, 2, 4, /* 3: 270 rotation about z */
937: };
938: switch (ct) {
939: case DM_POLYTOPE_POINT:
940: return pntVerts;
941: case DM_POLYTOPE_SEGMENT:
942: return &segVerts[(o + 1) * 2];
943: case DM_POLYTOPE_POINT_PRISM_TENSOR:
944: return &segVerts[(o + 1) * 2];
945: case DM_POLYTOPE_TRIANGLE:
946: return &triVerts[(o + 3) * 3];
947: case DM_POLYTOPE_QUADRILATERAL:
948: return &quadVerts[(o + 4) * 4];
949: case DM_POLYTOPE_SEG_PRISM_TENSOR:
950: return &tsegVerts[(o + 2) * 4];
951: case DM_POLYTOPE_TETRAHEDRON:
952: return &tetVerts[(o + 12) * 4];
953: case DM_POLYTOPE_HEXAHEDRON:
954: return &hexVerts[(o + 24) * 8];
955: case DM_POLYTOPE_TRI_PRISM:
956: return &tripVerts[(o + 6) * 6];
957: case DM_POLYTOPE_TRI_PRISM_TENSOR:
958: return &ttriVerts[(o + 6) * 6];
959: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
960: return &tquadVerts[(o + 8) * 8];
961: case DM_POLYTOPE_PYRAMID:
962: return &pyrVerts[(o + 4) * 5];
963: default:
964: return PETSC_NULLPTR;
965: }
966: }
968: /* This is orientation o1 acting on orientation o2 */
969: static inline PetscInt DMPolytopeTypeComposeOrientation(DMPolytopeType ct, PetscInt o1, PetscInt o2)
970: {
971: static const PetscInt segMult[2 * 2] = {0, -1, -1, 0};
972: static const PetscInt triMult[6 * 6] = {0, 2, 1, -3, -1, -2, 1, 0, 2, -2, -3, -1, 2, 1, 0, -1, -2, -3, -3, -2, -1, 0, 1, 2, -2, -1, -3, 1, 2, 0, -1, -3, -2, 2, 0, 1};
973: static const PetscInt quadMult[8 * 8] = {0, 3, 2, 1, -4, -1, -2, -3, 1, 0, 3, 2, -3, -4, -1, -2, 2, 1, 0, 3, -2, -3, -4, -1, 3, 2, 1, 0, -1, -2, -3, -4,
974: -4, -3, -2, -1, 0, 1, 2, 3, -3, -2, -1, -4, 1, 2, 3, 0, -2, -1, -4, -3, 2, 3, 0, 1, -1, -4, -3, -2, 3, 0, 1, 2};
975: static const PetscInt tsegMult[4 * 4] = {0, 1, -2, -1, 1, 0, -1, -2, -2, -1, 0, 1, -1, -2, 1, 0};
976: static const PetscInt tetMult[24 * 24] = {
977: 3, 2, 7, 0, 5, 10, 9, 8, 1, 6, 11, 4, -12, -7, -5, -9, -10, -2, -6, -1, -11, -3, -4, -8, 4, 0, 8, 1, 3, 11, 10, 6, 2, 7, 9, 5, -11, -9, -4, -8, -12, -1, -5, -3, -10, -2, -6, -7,
978: 5, 1, 6, 2, 4, 9, 11, 7, 0, 8, 10, 3, -10, -8, -6, -7, -11, -3, -4, -2, -12, -1, -5, -9, 0, 8, 4, 3, 11, 1, 6, 2, 10, 9, 5, 7, -9, -4, -11, -12, -1, -8, -3, -10, -5, -6, -7, -2,
979: 1, 6, 5, 4, 9, 2, 7, 0, 11, 10, 3, 8, -8, -6, -10, -11, -3, -7, -2, -12, -4, -5, -9, -1, 2, 7, 3, 5, 10, 0, 8, 1, 9, 11, 4, 6, -7, -5, -12, -10, -2, -9, -1, -11, -6, -4, -8, -3,
980: 6, 5, 1, 9, 2, 4, 0, 11, 7, 3, 8, 10, -6, -10, -8, -3, -7, -11, -12, -4, -2, -9, -1, -5, 7, 3, 2, 10, 0, 5, 1, 9, 8, 4, 6, 11, -5, -12, -7, -2, -9, -10, -11, -6, -1, -8, -3, -4,
981: 8, 4, 0, 11, 1, 3, 2, 10, 6, 5, 7, 9, -4, -11, -9, -1, -8, -12, -10, -5, -3, -7, -2, -6, 9, 11, 10, 6, 8, 7, 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5, -9, -7, -8, -12, -10, -11,
982: 10, 9, 11, 7, 6, 8, 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4, -8, -9, -7, -11, -12, -10, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12,
983: -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, -11, -10, -12, -8, -7, -9, -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3, 7, 8, 6, 10, 11, 9,
984: -10, -12, -11, -7, -9, -8, -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4, 8, 6, 7, 11, 9, 10, -9, -5, -1, -12, -2, -4, -3, -11, -7, -6, -8, -10, 3, 10, 8, 0, 7, 11, 9, 4, 2, 6, 1, 5,
985: -8, -4, -3, -11, -1, -6, -2, -10, -9, -5, -7, -12, 4, 11, 6, 1, 8, 9, 10, 5, 0, 7, 2, 3, -7, -6, -2, -10, -3, -5, -1, -12, -8, -4, -9, -11, 5, 9, 7, 2, 6, 10, 11, 3, 1, 8, 0, 4,
986: -3, -8, -4, -6, -11, -1, -9, -2, -10, -12, -5, -7, 6, 4, 11, 9, 1, 8, 0, 10, 5, 3, 7, 2, -2, -7, -6, -5, -10, -3, -8, -1, -12, -11, -4, -9, 7, 5, 9, 10, 2, 6, 1, 11, 3, 4, 8, 0,
987: -1, -9, -5, -4, -12, -2, -7, -3, -11, -10, -6, -8, 8, 3, 10, 11, 0, 7, 2, 9, 4, 5, 6, 1, -6, -2, -7, -3, -5, -10, -12, -8, -1, -9, -11, -4, 9, 7, 5, 6, 10, 2, 3, 1, 11, 0, 4, 8,
988: -5, -1, -9, -2, -4, -12, -11, -7, -3, -8, -10, -6, 10, 8, 3, 7, 11, 0, 4, 2, 9, 1, 5, 6, -4, -3, -8, -1, -6, -11, -10, -9, -2, -7, -12, -5, 11, 6, 4, 8, 9, 1, 5, 0, 10, 2, 3, 7,
989: };
990: static const PetscInt hexMult[48 * 48] = {
991: 18, 2, 5, 22, 21, 8, 16, 0, 13, 6, 11, 3, 15, 9, 4, 23, 12, 1, 19, 10, 7, 20, 14, 17, -24, -10, -20, -16, -12, -21, -4, -5, -18, -13, -15, -8, -2, -11, -14, -7, -3, -22, -6, -17, -19, -9, -1, -23,
992: 8, 20, 19, 2, 5, 23, 0, 17, 11, 1, 15, 7, 13, 4, 10, 18, 3, 14, 21, 9, 12, 22, 6, 16, -23, -13, -17, -7, -8, -19, -16, -12, -22, -2, -14, -5, -10, -15, -11, -4, -20, -9, -21, -3, -6, -18, -24, -1,
993: 2, 17, 23, 8, 0, 19, 5, 20, 1, 11, 9, 14, 12, 6, 3, 16, 10, 7, 22, 15, 13, 21, 4, 18, -22, -14, -19, -5, -15, -17, -10, -2, -23, -12, -13, -7, -16, -8, -4, -11, -24, -3, -18, -9, -1, -21, -20, -6,
994: 21, 5, 2, 16, 18, 0, 22, 8, 4, 12, 3, 11, 14, 7, 13, 20, 6, 10, 17, 1, 9, 23, 15, 19, -21, -8, -18, -15, -4, -24, -12, -14, -20, -7, -16, -10, -11, -2, -5, -13, -6, -19, -3, -23, -22, -1, -9, -17,
995: 16, 8, 0, 21, 22, 2, 18, 5, 12, 4, 1, 10, 9, 15, 6, 19, 13, 11, 23, 3, 14, 17, 7, 20, -20, -16, -24, -10, -2, -18, -11, -7, -21, -14, -8, -15, -12, -4, -13, -5, -9, -23, -1, -19, -17, -3, -6, -22,
996: 5, 19, 20, 0, 8, 17, 2, 23, 10, 3, 7, 15, 6, 12, 11, 22, 1, 9, 16, 14, 4, 18, 13, 21, -19, -5, -22, -14, -16, -23, -8, -11, -17, -4, -7, -13, -15, -10, -12, -2, -21, -6, -20, -1, -9, -24, -18, -3,
997: 22, 0, 8, 18, 16, 5, 21, 2, 6, 13, 10, 1, 7, 14, 12, 17, 4, 3, 20, 11, 15, 19, 9, 23, -18, -15, -21, -8, -11, -20, -2, -13, -24, -5, -10, -16, -4, -12, -7, -14, -1, -17, -9, -22, -23, -6, -3, -19,
998: 0, 23, 17, 5, 2, 20, 8, 19, 3, 10, 14, 9, 4, 13, 1, 21, 11, 15, 18, 7, 6, 16, 12, 22, -17, -7, -23, -13, -10, -22, -15, -4, -19, -11, -5, -14, -8, -16, -2, -12, -18, -1, -24, -6, -3, -20, -21, -9,
999: 10, 13, 6, 1, 11, 12, 3, 4, 8, 0, 22, 18, 19, 23, 5, 15, 2, 21, 9, 16, 17, 7, 20, 14, -16, -24, -10, -20, -23, -8, -19, -6, -15, -3, -21, -18, -22, -17, -9, -1, -14, -12, -7, -4, -11, -13, -5, -2,
1000: 1, 4, 12, 10, 3, 6, 11, 13, 0, 8, 16, 21, 17, 20, 2, 14, 5, 18, 7, 22, 19, 9, 23, 15, -15, -21, -8, -18, -17, -10, -22, -3, -16, -6, -24, -20, -19, -23, -1, -9, -5, -4, -13, -12, -2, -7, -14, -11,
1001: 14, 10, 3, 9, 7, 1, 15, 11, 17, 23, 0, 5, 16, 22, 20, 6, 19, 8, 12, 2, 21, 4, 18, 13, -14, -19, -5, -22, -3, -13, -9, -20, -7, -21, -23, -17, -6, -1, -24, -18, -12, -16, -2, -8, -10, -4, -11, -15,
1002: 7, 3, 10, 15, 14, 11, 9, 1, 20, 19, 5, 0, 18, 21, 17, 4, 23, 2, 13, 8, 22, 6, 16, 12, -13, -17, -7, -23, -9, -14, -3, -24, -5, -18, -22, -19, -1, -6, -20, -21, -2, -10, -12, -15, -16, -11, -4, -8,
1003: 13, 14, 15, 12, 4, 9, 6, 7, 21, 22, 23, 20, 2, 0, 18, 3, 16, 17, 1, 19, 8, 11, 5, 10, -12, -9, -11, -6, -21, -4, -24, -22, -2, -23, -3, -1, -20, -18, -19, -17, -16, -14, -15, -13, -5, -8, -10, -7,
1004: 6, 9, 7, 4, 12, 14, 13, 15, 16, 18, 17, 19, 0, 2, 22, 1, 21, 23, 3, 20, 5, 10, 8, 11, -11, -6, -12, -9, -20, -2, -18, -17, -4, -19, -1, -3, -21, -24, -23, -22, -8, -7, -10, -5, -13, -16, -15, -14,
1005: 3, 12, 4, 11, 1, 13, 10, 6, 2, 5, 21, 16, 23, 19, 0, 9, 8, 22, 15, 18, 20, 14, 17, 7, -10, -20, -16, -24, -22, -15, -17, -1, -8, -9, -18, -21, -23, -19, -3, -6, -13, -2, -5, -11, -4, -14, -7, -12,
1006: 20, 16, 18, 23, 17, 21, 19, 22, 14, 15, 4, 6, 3, 1, 7, 0, 9, 12, 2, 13, 11, 5, 10, 8, -9, -11, -6, -12, -14, -3, -13, -10, -1, -8, -2, -4, -7, -5, -16, -15, -23, -20, -22, -18, -24, -19, -17, -21,
1007: 11, 6, 13, 3, 10, 4, 1, 12, 5, 2, 18, 22, 20, 17, 8, 7, 0, 16, 14, 21, 23, 15, 19, 9, -8, -18, -15, -21, -19, -16, -23, -9, -10, -1, -20, -24, -17, -22, -6, -3, -7, -11, -14, -2, -12, -5, -13, -4,
1008: 9, 11, 1, 14, 15, 3, 7, 10, 23, 17, 2, 8, 21, 18, 19, 13, 20, 5, 4, 0, 16, 12, 22, 6, -7, -23, -13, -17, -1, -5, -6, -21, -14, -20, -19, -22, -9, -3, -18, -24, -11, -8, -4, -16, -15, -2, -12, -10,
1009: 19, 21, 22, 17, 23, 16, 20, 18, 9, 7, 12, 13, 1, 3, 15, 2, 14, 4, 0, 6, 10, 8, 11, 5, -6, -12, -9, -11, -7, -1, -5, -15, -3, -16, -4, -2, -14, -13, -8, -10, -19, -21, -17, -24, -18, -23, -22, -20,
1010: 15, 1, 11, 7, 9, 10, 14, 3, 19, 20, 8, 2, 22, 16, 23, 12, 17, 0, 6, 5, 18, 13, 21, 4, -5, -22, -14, -19, -6, -7, -1, -18, -13, -24, -17, -23, -3, -9, -21, -20, -4, -15, -11, -10, -8, -12, -2, -16,
1011: 4, 15, 14, 6, 13, 7, 12, 9, 18, 16, 20, 23, 5, 8, 21, 11, 22, 19, 10, 17, 0, 3, 2, 1, -4, -1, -2, -3, -24, -12, -21, -19, -11, -17, -6, -9, -18, -20, -22, -23, -15, -5, -16, -7, -14, -10, -8, -13,
1012: 17, 18, 16, 19, 20, 22, 23, 21, 7, 9, 6, 4, 10, 11, 14, 5, 15, 13, 8, 12, 1, 0, 3, 2, -3, -4, -1, -2, -13, -9, -14, -16, -6, -15, -12, -11, -5, -7, -10, -8, -22, -24, -23, -21, -20, -17, -19, -18,
1013: 12, 7, 9, 13, 6, 15, 4, 14, 22, 21, 19, 17, 8, 5, 16, 10, 18, 20, 11, 23, 2, 1, 0, 3, -2, -3, -4, -1, -18, -11, -20, -23, -12, -22, -9, -6, -24, -21, -17, -19, -10, -13, -8, -14, -7, -15, -16, -5,
1014: 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24,
1015: -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
1016: -13, -8, -10, -14, -7, -16, -5, -15, -23, -22, -20, -18, -9, -6, -17, -11, -19, -21, -12, -24, -3, -2, -1, -4, 1, 2, 3, 0, 17, 10, 19, 22, 11, 21, 8, 5, 23, 20, 16, 18, 9, 12, 7, 13, 6, 14, 15, 4,
1017: -18, -19, -17, -20, -21, -23, -24, -22, -8, -10, -7, -5, -11, -12, -15, -6, -16, -14, -9, -13, -2, -1, -4, -3, 2, 3, 0, 1, 12, 8, 13, 15, 5, 14, 11, 10, 4, 6, 9, 7, 21, 23, 22, 20, 19, 16, 18, 17,
1018: -5, -16, -15, -7, -14, -8, -13, -10, -19, -17, -21, -24, -6, -9, -22, -12, -23, -20, -11, -18, -1, -4, -3, -2, 3, 0, 1, 2, 23, 11, 20, 18, 10, 16, 5, 8, 17, 19, 21, 22, 14, 4, 15, 6, 13, 9, 7, 12,
1019: -16, -2, -12, -8, -10, -11, -15, -4, -20, -21, -9, -3, -23, -17, -24, -13, -18, -1, -7, -6, -19, -14, -22, -5, 4, 21, 13, 18, 5, 6, 0, 17, 12, 23, 16, 22, 2, 8, 20, 19, 3, 14, 10, 9, 7, 11, 1, 15,
1020: -20, -22, -23, -18, -24, -17, -21, -19, -10, -8, -13, -14, -2, -4, -16, -3, -15, -5, -1, -7, -11, -9, -12, -6, 5, 11, 8, 10, 6, 0, 4, 14, 2, 15, 3, 1, 13, 12, 7, 9, 18, 20, 16, 23, 17, 22, 21, 19,
1021: -10, -12, -2, -15, -16, -4, -8, -11, -24, -18, -3, -9, -22, -19, -20, -14, -21, -6, -5, -1, -17, -13, -23, -7, 6, 22, 12, 16, 0, 4, 5, 20, 13, 19, 18, 21, 8, 2, 17, 23, 10, 7, 3, 15, 14, 1, 11, 9,
1022: -12, -7, -14, -4, -11, -5, -2, -13, -6, -3, -19, -23, -21, -18, -9, -8, -1, -17, -15, -22, -24, -16, -20, -10, 7, 17, 14, 20, 18, 15, 22, 8, 9, 0, 19, 23, 16, 21, 5, 2, 6, 10, 13, 1, 11, 4, 12, 3,
1023: -21, -17, -19, -24, -18, -22, -20, -23, -15, -16, -5, -7, -4, -2, -8, -1, -10, -13, -3, -14, -12, -6, -11, -9, 8, 10, 5, 11, 13, 2, 12, 9, 0, 7, 1, 3, 6, 4, 15, 14, 22, 19, 21, 17, 23, 18, 16, 20,
1024: -4, -13, -5, -12, -2, -14, -11, -7, -3, -6, -22, -17, -24, -20, -1, -10, -9, -23, -16, -19, -21, -15, -18, -8, 9, 19, 15, 23, 21, 14, 16, 0, 7, 8, 17, 20, 22, 18, 2, 5, 12, 1, 4, 10, 3, 13, 6, 11,
1025: -7, -10, -8, -5, -13, -15, -14, -16, -17, -19, -18, -20, -1, -3, -23, -2, -22, -24, -4, -21, -6, -11, -9, -12, 10, 5, 11, 8, 19, 1, 17, 16, 3, 18, 0, 2, 20, 23, 22, 21, 7, 6, 9, 4, 12, 15, 14, 13,
1026: -14, -15, -16, -13, -5, -10, -7, -8, -22, -23, -24, -21, -3, -1, -19, -4, -17, -18, -2, -20, -9, -12, -6, -11, 11, 8, 10, 5, 20, 3, 23, 21, 1, 22, 2, 0, 19, 17, 18, 16, 15, 13, 14, 12, 4, 7, 9, 6,
1027: -8, -4, -11, -16, -15, -12, -10, -2, -21, -20, -6, -1, -19, -22, -18, -5, -24, -3, -14, -9, -23, -7, -17, -13, 12, 16, 6, 22, 8, 13, 2, 23, 4, 17, 21, 18, 0, 5, 19, 20, 1, 9, 11, 14, 15, 10, 3, 7,
1028: -15, -11, -4, -10, -8, -2, -16, -12, -18, -24, -1, -6, -17, -23, -21, -7, -20, -9, -13, -3, -22, -5, -19, -14, 13, 18, 4, 21, 2, 12, 8, 19, 6, 20, 22, 16, 5, 0, 23, 17, 11, 15, 1, 7, 9, 3, 10, 14,
1029: -2, -5, -13, -11, -4, -7, -12, -14, -1, -9, -17, -22, -18, -21, -3, -15, -6, -19, -8, -23, -20, -10, -24, -16, 14, 20, 7, 17, 16, 9, 21, 2, 15, 5, 23, 19, 18, 22, 0, 8, 4, 3, 12, 11, 1, 6, 13, 10,
1030: -11, -14, -7, -2, -12, -13, -4, -5, -9, -1, -23, -19, -20, -24, -6, -16, -3, -22, -10, -17, -18, -8, -21, -15, 15, 23, 9, 19, 22, 7, 18, 5, 14, 2, 20, 17, 21, 16, 8, 0, 13, 11, 6, 3, 10, 12, 4, 1,
1031: -1, -24, -18, -6, -3, -21, -9, -20, -4, -11, -15, -10, -5, -14, -2, -22, -12, -16, -19, -8, -7, -17, -13, -23, 16, 6, 22, 12, 9, 21, 14, 3, 18, 10, 4, 13, 7, 15, 1, 11, 17, 0, 23, 5, 2, 19, 20, 8,
1032: -23, -1, -9, -19, -17, -6, -22, -3, -7, -14, -11, -2, -8, -15, -13, -18, -5, -4, -21, -12, -16, -20, -10, -24, 17, 14, 20, 7, 10, 19, 1, 12, 23, 4, 9, 15, 3, 11, 6, 13, 0, 16, 8, 21, 22, 5, 2, 18,
1033: -6, -20, -21, -1, -9, -18, -3, -24, -11, -4, -8, -16, -7, -13, -12, -23, -2, -10, -17, -15, -5, -19, -14, -22, 18, 4, 21, 13, 15, 22, 7, 10, 16, 3, 6, 12, 14, 9, 11, 1, 20, 5, 19, 0, 8, 23, 17, 2,
1034: -17, -9, -1, -22, -23, -3, -19, -6, -13, -5, -2, -11, -10, -16, -7, -20, -14, -12, -24, -4, -15, -18, -8, -21, 19, 15, 23, 9, 1, 17, 10, 6, 20, 13, 7, 14, 11, 3, 12, 4, 8, 22, 0, 18, 16, 2, 5, 21,
1035: -22, -6, -3, -17, -19, -1, -23, -9, -5, -13, -4, -12, -15, -8, -14, -21, -7, -11, -18, -2, -10, -24, -16, -20, 20, 7, 17, 14, 3, 23, 11, 13, 19, 6, 15, 9, 10, 1, 4, 12, 5, 18, 2, 22, 21, 0, 8, 16,
1036: -3, -18, -24, -9, -1, -20, -6, -21, -2, -12, -10, -15, -13, -7, -4, -17, -11, -8, -23, -16, -14, -22, -5, -19, 21, 13, 18, 4, 14, 16, 9, 1, 22, 11, 12, 6, 15, 7, 3, 10, 23, 2, 17, 8, 0, 20, 19, 5,
1037: -9, -21, -20, -3, -6, -24, -1, -18, -12, -2, -16, -8, -14, -5, -11, -19, -4, -15, -22, -10, -13, -23, -7, -17, 22, 12, 16, 6, 7, 18, 15, 11, 21, 1, 13, 4, 9, 14, 10, 3, 19, 8, 20, 2, 5, 17, 23, 0,
1038: -19, -3, -6, -23, -22, -9, -17, -1, -14, -7, -12, -4, -16, -10, -5, -24, -13, -2, -20, -11, -8, -21, -15, -18, 23, 9, 19, 15, 11, 20, 3, 4, 17, 12, 14, 7, 1, 10, 13, 6, 2, 21, 5, 16, 18, 8, 0, 22,
1039: };
1040: static const PetscInt tripMult[12 * 12] = {
1041: 1, 0, 2, 3, 5, 4, -6, -4, -5, -2, -3, -1, 0, 2, 1, 4, 3, 5, -5, -6, -4, -3, -1, -2, 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3, 4, 3, 5, 0, 2, 1, -3, -1, -2, -5, -6, -4,
1042: 3, 5, 4, 1, 0, 2, -2, -3, -1, -6, -4, -5, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, -4, -6, -5, -2, -1, -3, 1, 2, 0, 5, 3, 4,
1043: -5, -4, -6, -1, -3, -2, 2, 0, 1, 4, 5, 3, -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2, -1, -3, -2, -5, -4, -6, 4, 5, 3, 2, 0, 1, -2, -1, -3, -4, -6, -5, 5, 3, 4, 1, 2, 0,
1044: };
1045: static const PetscInt ttriMult[12 * 12] = {
1046: 0, 2, 1, 3, 5, 4, -6, -4, -5, -3, -1, -2, 1, 0, 2, 4, 3, 5, -5, -6, -4, -2, -3, -1, 2, 1, 0, 5, 4, 3, -4, -5, -6, -1, -2, -3, 3, 5, 4, 0, 2, 1, -3, -1, -2, -6, -4, -5,
1047: 4, 3, 5, 1, 0, 2, -2, -3, -1, -5, -6, -4, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, -5, -4, -6, -2, -1, -3, 1, 2, 0, 4, 5, 3,
1048: -4, -6, -5, -1, -3, -2, 2, 0, 1, 5, 3, 4, -3, -2, -1, -6, -5, -4, 3, 4, 5, 0, 1, 2, -2, -1, -3, -5, -4, -6, 4, 5, 3, 1, 2, 0, -1, -3, -2, -4, -6, -5, 5, 3, 4, 2, 0, 1,
1049: };
1050: static const PetscInt tquadMult[16 * 16] = {
1051: 0, 3, 2, 1, 4, 7, 6, 5, -8, -5, -6, -7, -4, -1, -2, -3, 1, 0, 3, 2, 5, 4, 7, 6, -7, -8, -5, -6, -3, -4, -1, -2, 2, 1, 0, 3, 6, 5, 4, 7, -6, -7, -8, -5, -2, -3, -4, -1, 3, 2, 1, 0,
1052: 7, 6, 5, 4, -5, -6, -7, -8, -1, -2, -3, -4, 4, 7, 6, 5, 0, 3, 2, 1, -4, -1, -2, -3, -8, -5, -6, -7, 5, 4, 7, 6, 1, 0, 3, 2, -3, -4, -1, -2, -7, -8, -5, -6, 6, 5, 4, 7, 2, 1, 0, 3,
1053: -2, -3, -4, -1, -6, -7, -8, -5, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, -7, -6, -5, -8, -3, -2, -1, -4, 1, 2, 3, 0,
1054: 5, 6, 7, 4, -6, -5, -8, -7, -2, -1, -4, -3, 2, 3, 0, 1, 6, 7, 4, 5, -5, -8, -7, -6, -1, -4, -3, -2, 3, 0, 1, 2, 7, 4, 5, 6, -4, -3, -2, -1, -8, -7, -6, -5, 4, 5, 6, 7, 0, 1, 2, 3,
1055: -3, -2, -1, -4, -7, -6, -5, -8, 5, 6, 7, 4, 1, 2, 3, 0, -2, -1, -4, -3, -6, -5, -8, -7, 6, 7, 4, 5, 2, 3, 0, 1, -1, -4, -3, -2, -5, -8, -7, -6, 7, 4, 5, 6, 3, 0, 1, 2,
1056: };
1057: static const PetscInt pyrMult[8 * 8] = {
1058: 0, 3, 2, 1, -4, -1, -2, -3, 1, 0, 3, 2, -3, -4, -1, -2, 2, 1, 0, 3, -2, -3, -4, -1, 3, 2, 1, 0, -1, -2, -3, -4, -4, -3, -2, -1, 0, 1, 2, 3, -3, -2, -1, -4, 1, 2, 3, 0, -2, -1, -4, -3, 2, 3, 0, 1, -1, -4, -3, -2, 3, 0, 1, 2,
1059: };
1060: switch (ct) {
1061: case DM_POLYTOPE_POINT:
1062: return 0;
1063: case DM_POLYTOPE_SEGMENT:
1064: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1065: return segMult[(o1 + 1) * 2 + o2 + 1];
1066: case DM_POLYTOPE_TRIANGLE:
1067: return triMult[(o1 + 3) * 6 + o2 + 3];
1068: case DM_POLYTOPE_QUADRILATERAL:
1069: return quadMult[(o1 + 4) * 8 + o2 + 4];
1070: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1071: return tsegMult[(o1 + 2) * 4 + o2 + 2];
1072: case DM_POLYTOPE_TETRAHEDRON:
1073: return tetMult[(o1 + 12) * 24 + o2 + 12];
1074: case DM_POLYTOPE_HEXAHEDRON:
1075: return hexMult[(o1 + 24) * 48 + o2 + 24];
1076: case DM_POLYTOPE_TRI_PRISM:
1077: return tripMult[(o1 + 6) * 12 + o2 + 6];
1078: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1079: return ttriMult[(o1 + 6) * 12 + o2 + 6];
1080: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1081: return tquadMult[(o1 + 8) * 16 + o2 + 8];
1082: case DM_POLYTOPE_PYRAMID:
1083: return pyrMult[(o1 + 4) * 8 + o2 + 4];
1084: default:
1085: return 0;
1086: }
1087: }
1089: /* This is orientation o1 acting on orientation o2^{-1} */
1090: static inline PetscInt DMPolytopeTypeComposeOrientationInv(DMPolytopeType ct, PetscInt o1, PetscInt o2)
1091: {
1092: static const PetscInt triInv[6] = {-3, -2, -1, 0, 2, 1};
1093: static const PetscInt quadInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1};
1094: static const PetscInt tetInv[24] = {-9, -11, -4, -12, -5, -7, -6, -8, -10, -3, -2, -1, 0, 2, 1, 3, 8, 10, 6, 11, 4, 9, 5, 7};
1095: static const PetscInt hexInv[48] = {-17, -18, -20, -19, -22, -21, -23, -24, -15, -16, -14, -13, -11, -12, -10, -9, -8, -5, -6, -7, -4, -3, -2, -1, 0, 3, 2, 1, 6, 5, 4, 9, 8, 7, 10, 11, 12, 13, 14, 15, 17, 16, 19, 18, 21, 20, 23, 22};
1096: static const PetscInt tripInv[12] = {-5, -6, -4, -3, -2, -1, 0, 2, 1, 3, 4, 5};
1097: static const PetscInt ttriInv[12] = {-6, -5, -4, -3, -2, -1, 0, 2, 1, 3, 5, 4};
1098: static const PetscInt tquadInv[16] = {-8, -7, -6, -5, -4, -3, -2, -1, 0, 3, 2, 1, 4, 7, 6, 5};
1099: static const PetscInt pyrInv[8] = {-4, -3, -2, -1, 0, 3, 2, 1};
1100: switch (ct) {
1101: case DM_POLYTOPE_POINT:
1102: return 0;
1103: case DM_POLYTOPE_SEGMENT:
1104: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1105: return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1106: case DM_POLYTOPE_TRIANGLE:
1107: return DMPolytopeTypeComposeOrientation(ct, o1, triInv[o2 + 3]);
1108: case DM_POLYTOPE_QUADRILATERAL:
1109: return DMPolytopeTypeComposeOrientation(ct, o1, quadInv[o2 + 4]);
1110: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1111: return DMPolytopeTypeComposeOrientation(ct, o1, o2);
1112: case DM_POLYTOPE_TETRAHEDRON:
1113: return DMPolytopeTypeComposeOrientation(ct, o1, tetInv[o2 + 12]);
1114: case DM_POLYTOPE_HEXAHEDRON:
1115: return DMPolytopeTypeComposeOrientation(ct, o1, hexInv[o2 + 24]);
1116: case DM_POLYTOPE_TRI_PRISM:
1117: return DMPolytopeTypeComposeOrientation(ct, o1, tripInv[o2 + 6]);
1118: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1119: return DMPolytopeTypeComposeOrientation(ct, o1, ttriInv[o2 + 6]);
1120: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1121: return DMPolytopeTypeComposeOrientation(ct, o1, tquadInv[o2 + 8]);
1122: case DM_POLYTOPE_PYRAMID:
1123: return DMPolytopeTypeComposeOrientation(ct, o1, pyrInv[o2 + 4]);
1124: default:
1125: return 0;
1126: }
1127: }
1129: PETSC_EXTERN PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1130: PETSC_EXTERN PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *, PetscBool *);
1131: PETSC_EXTERN PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1132: PETSC_EXTERN PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType, const PetscInt[], const PetscInt[], PetscInt *);
1133: PETSC_EXTERN PetscErrorCode DMPolytopeInCellTest(DMPolytopeType, const PetscReal[], PetscBool *);